
JOURNAL ARTICLES:
 Holonomy and the WessZumino term", (A.L. Carey, M.K. Murray), Letters in Math Physics, (1986), 323328
 "Temperature states on loop groups, theta functions and the Luttinger model", (A.L. Carey, K.C. Hannabuss), J Func Analysis, 75 (1987) , 128160
 "Current algebras, gauge groups and KacMoody algebras", (A.L. Carey, S.N.M. Ruijsenaars),Acta Math Applicandae (1987), 181
 "On an automorphic action of U(n,1) on On", (A.L. Carey, D.E. Evans), J Func Analysis, 70 (1987), 90110
 "Operator algebras of the two dimensional Ising model", (A.L. Carey, D.E. Evans), Proc Santa Cruz Conf on Artin's braid group, Amer Math Soc Co ntemporary Mathematical series 78 (1988), 117166
 "Infinite complex spin groups", (A.L. Carey, J. Palmer), J Func Analysis, 83 (1989), 143
 "Gauge anomalies on S2 and group extensions", (A.L. Carey, J. Palmer), J Math Phys., 30 (1989), 21812191
 "Degenerate forms of Maxwell's equations", (A.L. Carey, K. McNamara), J Aust Math Soc., B (1989)
 "Algebras almost commuting with Clifford Algebras", (A.L. Carey, D.E. Evans), J Func Analysis, 88 (1990), 279298.
 "Clifford algebras, Riemann surfaces and infinite dimensional groups", (A.L. Carey, M.G. Eastwood and K.C. Hannabuss), Commun Math Phys., 13 0 (1990), 213236
 "L2acyclicity and L2torsion invariants", (A.L. Carey, V. Mathai), Amer Math Soc Contemporary Math Series , 105 (1990), 91118
 "Simple examples of conformal field theories",(A.L. Carey, K.C. Hannabuss), Int J Mod Physics, B4 (1990), 10591068
 "Higher order tensors, strings and newtensors", (A.L. Carey, M.K. Murray), Proc Royal Soc, 430 (1990), 423432
 "Nonmonomial representations of nilpotent groups II", (L. Baggett, A.L. Carey, W. Moran and A. Ramsey), J Func Analysis, (1991) 361372
 "The Pompieu problem for groups", (A.L. Carey, E. Kaniuth, W. Moran), Proc Camb Phil Soc, 109 (1991) 4558
 "String structures and holonomy", (A.L. Carey, M.K. Murray), Commun Math Phys, 141 (1991), 441452
 "Algebras almost commuting with Clifford algebras in a IIinf factor", (A.L. Carey, J. Phillips), Ktheory, 4 (1991) 445478
 "Temperature states on gauge groups", (A.L. Carey, K.C. Hannabuss), Annales d'Institut Henri Poincare, B57 (1992) 219257
 "Return to Equilibrium in the presence of Phase Transitions", (A.L. Carey, L. Hume), J Stat Phys, 68 (1992) 787827
 "L2torsion invariants", (A.L. Carey, V.Mathai), (40) J Func Analysis, 110 (1992) 377408
 "Finite dimensional algebraic representations of the basic phylon group", (O.E. BandorffNielson, P. Blaesid, A.L. Carey, P.E. Jupp, M. Mora, M.K. Mu rray), Acta Applicandae Math, 28 (1992) 219252
 "Hilbert space represenations of the gauge groups of some two dimensional field theories", (A.L. Carey, J.D. Wright), Reviews in Math Phys, 5 (1993), 2547
 "Landau Lifshitz equation, elliptic curves and the Ward transform", (A.L. Carey, K.C. Hannabuss, L. Mason, M.A. Singer), Commun Math Phys, 154 (1993) 551586
 "Kirillov theory for divisible nilpotent groups", (A.L. Carey, W. Moran and C.E.M. Pearce), Math Annalen, 301 (1995) 119133
 "Cohomology of group actions on C*algebras, 3cocycles and quantum field theory", (A.L. Carey, H. Grundling, I. Raeburn, C. Sutherland), Commun M ath Phys, 168 (1995) 389416
 "A general existence theorem for orthonormal wavelets", (L. Baggett, A.L. Carey, W. Moran, P. Ohring), Publ RIMS, Kyoto 31 (1995) 95111
 "Realising 3cocycles as obstructions", (A.L. Carey, H. Grundling, C.A> Hurst, E. Langmann), J Math Phys, 36 (1995), 26052621
 "Infinite dimensional groups and Riemann surface field theories." (A.L. Carey, K.C. Hannabuss), Commun Math Phys, 176 (1996), 321351
 "Faddeev's anomaly and bundle gerbes", (A.L. Carey, M.K. Murray), Letters in Math Phys, 37(1) (1996) 2936
 "A discrete model of the quantum Hall effect", (A.L. Carey, P. McCann), Publ RIMS 32 (1996), 117156
 "Higher bundle gerbes, descent equations and 3cocycles", (A.L. Carey, M.K. Murray, B. Wang), J Geom Phys, 21 (1997) 183197
 "Von Neumann spectral invariants near the spectral gap", (A.L. Carey, T. Coulhon, V. Mathai, J. Phillips), Bull Math Sci France, 122 (1 998) 203242
 "Quantum groups at odd roots of unity and topological invariants of 3manifolds", (R.B. Zhang, A.L. Carey), Commun math Phys, 182 (1996) 619636
 "Index theory, gerbes and Hamiltonian quantisation," (A.L.Carey, J. Mickelsson and M.K. Murray) Commun. Math. Phys. 183, 707723 (1997)
 " SeibergWitten monopoles in three dimensions," (B.L. Wang, A.L.Carey, R.B. Zhang and J. McCarthy) Lett. Math. Phys. 39, 213228 (1997)
 " Determinant lines and L2torsion ," (A.L.Carey M. Farber and V. Mathai) J. reine angew. Math 48, 153181 (1997)
 "The spherical phylon group and invariants of the Laplace transform," (A.L.Carey, M.G.Eastwood, P.E.Jupp, M.K.Murray) ) Proc Roy Soc Lond 454, 12551268 (1998)
 "The quantum Hall effect on the hyperbolic plane," (A.L.Carey, K. C. Hannabuss, V. Mathai and P.J. McCann) Commun. Math. Phys. 190, 629673 (1998)
 " Unbounded Fredholm modules and spectral flow," (A.L.Carey and J. Phillips) J. Canadian Math. Soc. 50, 673718 (1998)
 "Principal bundles and the DixmierDouady class," (A.L.Carey, D. Crowley and M.K. Murray) Commun. Math. Phys. 193, 171196 (1998)
 "Loop Groups, Anyons and the CalogeroSutherland model," (A.L.Carey, E. Langmann) Commun. Math. Phys. 201, 134 (1999)
 "The quantum hall effect on the hyperbolic plane in the presence of disorder," (A.L.Carey, K. C. Hannabuss and V. Mathai) Lett. Math. Phys. 47, 215236 (1999)
 "Bundle gerbes applied to quantum field theory," (A.L.Carey, J. Mickelsson and M. K. Murray) Rev. Math. Phys. 12, 6590 (2000)
 "Correspondences, von Neumann algebras and holomorphic $L^2$ torsion," (A.L.Carey, M. Farber and V. Mathai) Canadian Journal of Mathematics 52, 695736 (2000)
 "On unbounded psummable Fredholm modules," (A.L.Carey, J. Phillips and F. A. Sukochev) Advances in Math 151, 140163 (2000)
 "Cuntz algebras and quantum groups," (A.L.Carey, A. Paolucci and R.B. Zhang) Annales Henri Poincare 1, 10971122 (2000)
 "A gerbe obstruction to quantisation of fermions on odddimensional manifolds with boundary," (A.L.Carey and J. Mickelsson) Lett. Math. Phys. 51, 145160 (2000)
 "A gerbe obstruction to quantisation of fermions on odddimensional manifolds with boundary," (A.L.Carey and J. Mickelsson) Lett. Math. Phys. 51, 145160 (2000)
 "Hilbert C*systems for actions of the circle group," (H. Baumgaertal and A.L.Carey) Reports. Math. Phys. 47, 4760 (2001)
 "The Universal Gerbe, DixmierDouady classes and gauge theory," (A.L.Carey and J. Mickelsson) Lett. Math. Phys. 59, 4760 (2002)
 "Ktheory of bundle gerbes and twisted Ktheory", (A.L. Carey, P. Bouwknegt, V.Mathai, M.K.Murray and D. Stevenson) Commun Math Phys, 228 (2002) 1749 (hepth 0106194)
 "Spectral flow and Dixmier traces", (A.L. Carey, J. Phillips and F. Sukochev) Advances in Mathematics, 173 (2003) 68113
 "The geometric triangle for 3dimensional SeibergWitten monopoles", (A.L. Carey, M. Marcolli, BL. Wang) Communications in Contemporary Mathematics, 5 (2003) 197250
 "SeibergWittenFloer homology and gluing formulae'' (A.L. Carey and BL. Wang) Acta Academia Sinica, 19 (2003), 245296.
 "Spectral flow in Fredholm modules, eta invariants and the JLO cocycle'', (A.L. Carey and J. Phillips) KTheory 31 (2004) 135194.
 "The Hochschild Class of the Chern Character for Semifinite Spectral Triples", (A.L. Carey, J. Phillips, A. Rennie, F.A. Sukochev) Journal of Functional Analysis 213 (2004), pp 111153
 "Holonomy on DBranes", (A.L. Carey, S. Johnson and M.K. Murray) J. Geom. Phys. 52 (2004) 186215
 "On the amenability of the gauge group", (A.L. Carey, H. Grundling) Lett. Math. Phys. 68 (2004),113120
 "L^{2} torsion without the Determinant class condition and extended $L^2$ cohomology", (M. Braverman, A.L. Carey, V. Mathai and M. Farber.) Commun. Cont. Math.. 7, (2005), 421462
 "The local index formula in semifinite von Neumann algebras I: spectral flow", (A.L. Carey, J. Phillips, A. Rennie, F.A. Sukochev) Advances in Math , 202, (2006), 451516
 "The local index formula in semifinite von Neumann algebras II; even case.", (A.L. Carey, J. Phillips, A. Rennie, F.A. Sukochev) Advances in Math , 202, (2006), 517554
 "Bundle gerbes for ChernSimons and WessZuminoWitten theories", (A.L.Carey, S.Johnson, M.K. Murray, D. Stevenson, BL. Wang) Commun Math Phys 259 (2005) 577613.
 "On the relationship of gerbes to the odd families index theorem", (A.L. Carey, B.L. Wang) J. Geom. Phys., 57 (2006) 2338
 "Dixmier traces and some applications in noncommutative geometry", (A.L. Carey, F. A. Sukochev) Russian Mathematical Surveys., 61 (2006) 10391100
 "Quantum Hall effect and noncommutative geometry", (A.L. Carey, K.C. Hannabuss and V. Mathai) J. Geometry and Symmetry in Physics, 6,(2006) 1637
 "Thom Isomorphism and pushforward map in twisted Ktheory" (with BL. Wang) Journal K Theory, 1 (2008) 357393
 "Operator integrals, spectral flow and the spectral shift function" (with N. A. Azamov, P.G. Dodds, F.A. Sukochev) Canadian J Math, 61, (2009) 241263
 "Asymptotics of zeta functions and Dixmier traces" (with A.A. Sedaev, F.A Sukochev and A. Rennie) J. Funct. Analysis 249 (2007) 253283
 "The Spectral shift function and spectral flow" (with N. A. Azamov, and F.A. Sukochev) Commun. Math. Phys. 276 (2007) 5191.
 "Fusion of Symmetric Dbranes and Verlinde Rings" (with BL. Wang)
Commun. Math. Phys. 277 (2008) 577625.
 "The Chern Character of Semifinite
Spectral Triples" (with J. Phillips, A. Rennie, F.A. Sukochev)
Journal of Noncommutative Geometry 2 (2008) 141261.
 "Differential Twisted Ktheory and Twisted eta forms", (with
J. Mickelsson and Bailing Wang), J. Geom and Physics, 59, (2009), 632653.
 "Spectral flow is the integral of one forms on the Banach manifold of self adjoint Fredholm operators" (with F. A. Sukochev and D. Potapov), Advances in Mathematics
222 (2009) 18091849.
 "Bivariant cyclic theory and the families index theorem," with MT Benameur, Electronic Research Announcements in Mathematical Sciences (ERAMS)
16 (2009) 3743
 "Modular index theory of $SU(2)_q$", (with A. Rennie and K. Tong)
J. Geom Phys. 59 (2009) 14311452
 "APS Boundary Conditions, $KK$theory and Spectral Flow in
Graph C*Algebras" (with J.Phillips and A. Rennie), J. reine angew. Math.
643 (2010) 59109.
 "Twisted cyclic theory and an index theory for the gauge invariant KMS state on the Cuntz algebras" (with J. Phillips and A. Rennie). Journal K Theory, 6} (2010), 339380
 "Twisted cyclic theory, equivariant $KK$theory and KMS states" (with
R. Nest, S. Neshveyev and A. Rennie) J. reine angew. Math.
651 (2011) 161191.
 "A Dirac Type Operator on the NonCommutative Disk" (with
S. Klimek and K. P. Wojciechowski) Letters in Mathematical Physics
93, 107125, 2010

"RiemannRoch and index formulae in twisted Ktheory"
(with BL Wang) Symposia in Pure Mathematics, 81 (2010) 95131, American Mathematical Society, Providence RI.
 " Families of type III KMS states on a class of C*algebras containing O_n and Q_N",
(with J. Phillips, I Putnam, A. Rennie), J. Funct. Analysis, 260 (2011) 16371681.
 " Integration on locally compact noncommutative spaces"
(with V. Gayral, A. Rennie, F. Sukochev) J. Funct Analysis, 263 (2012) 383414.

" Measurable operators and the asymptotics of heat kernels and zeta functions", (with F. Sukochev) J. Funct. Analysis, 262 (2012) 45824599.

" Higher spectral flow and an entire bivariant JLO cocycle,"
(with MT Benameur) J. K Theory, 11, (2013) 183232.
 "Kcycles for twisted Khomology," {with P. Baum and BL Wang} J. K Theory}, 12, (2013) 6998
MONOGRAPHS
 "Index theory for locally compact noncommutative geometries,"
(with V. Gayral, A. Rennie, F. Sukochev) Memoirs of the Amer. Math. Soc. 231, No 1085, 2014
BOOK CHAPTERS
 "The infinite dimensional spin and complex orthogonal groups and applications", Operator Algebras and Applications, London Math Soc Lecture Notes S eries, 135 (1988), 77102
 "Phylon representations", (A.L. Carey, P. Jupp, M.K. Murray), in Australian Mathematical Society Lecture Series, "Algebraic Groups and Related Subjects; a Volume in Honour of R. W. Richardson", (Eds: G.I. Lehrer with A.L. Carey, T. Carroll, M.K. Murray, T. Springer), Cambridge University Press, 1996
 "Loop Groups and Quantum Field Theory", (with E. Langmann), Birkhauser, to appear.
 "Analytic formulae for Spectral Flow in von Neumann algebras" (M.T. Benameur, A.L. Carey, J. Phillips, A. Rennie, F.A. Sukochev, K.P. Wojciechowski)
"Analysis, Geometry and topology of elliptic operators."
eds B. BoossBavnbek, S.Klimek, M. Lesch, W. Zhang, World Scientific,
Singapore, 2006
 "Spectral Triples: examples and applications" (with John Phillips and Adam Rennie) European Mathematical Society Lectures in Mathematics and Physics, Noncommutative Geometry and Physics: Renormalisation, Motives, Index Theory, European Mathematical Society, Zurich, 2011.
CONFERENCE PAPERS
 "Bundle gerbes and field theory", (A.L. Carey, J. Mickelsson and M.K. Murray), Proceedings of the International Congress of Mathematical Physics 1997 (1999)
 "Loop groups, Luttinger model, Anyons and Sutherland systems", International Workshop, "Mathematical Physics" at the occasion of W. Thirring's 70th birthday, 1217 May 1997, Kiev, Ukraine; Ukrainian Journal of Physics 67 vol. 43, 817827 (1998), (A.L. Carey and E. Langmann)
 "Torsion, current algebra and Hamiltonian quantisation", (A.L. Carey, J. Mickelsson and M.K. Murray), Proc 2nd International Workshop on Lie theory an d its applications in physics, (eds: H.D. Doebner, V.V. Dobrev and J. Hilgert), World Scientific, Singapore (1999), 204209
 "Hamiltonian quantization of fermions on an odd dimensional manifold with boundary." (A.L. Carey and J. Mickelsson), Proceedings of the Goslar confere nce (International Symposium on Quantum Theory and Symmetries, July 1999), World Scientific
 "Notes on the SeibergWitten theory", (A.L. Carey and B. Wang), Contemporary Math, 258 7186, 2000
 "Group actions on Cuntz algebras", (with D.E. Evans), Proc Centre for Math Anaglysis IX, Miniconference on linear analysis and functi on spaces, (1985).
 "Representions of infinite dimnesional groups and applications", Proc Centre for Math Analysis, ANU, Miniconference on Harmonic Analysis and Operat or Algebras, 16 (1988)
 "Nonmonomial representations of abelian groups with multipliers", (with L.W. Baggett, W. Moran and A. Ramsay), Proc Centre for Math Analysis, ANU, 15 (1987), 15
 "L2 ReidermeisterFranz torsion", (with V. Mathai), Proc Centre for math Analysis, ANU, Conference on Geometry and Physics, (1989)
 "Loop Groups and Quantum Field Theory" (with E. Langmann) in Geometric Analysis and Applications to Quantum Field Theory, P Bouwknegt and S Wu (editors), Progress in Mathematics Vol 205, pp 4594 Birkhauser, Boston, 2002
 "Some examples of odd index theorems" Reports in Mathematical Physics,
57 (2006) 4151
 "Semifinite Spectral triples associated to graph $C^*$algebras"
(with John Phillips and Adam Rennie),"Traces in Geometry, Number Theory and Quantum Fields"
Sergio Albeverio, Matilde Marcolli, Sylvie Paycha, Jorge Plazas (Editors)
Aspects of Mathematics 38, 3556, Vieweg Verlag 2008.

"The Local Index Formula in Noncommutative Geometry Revisited" (with John Phillips, Adam Rennie and Fedor A Sukochev) Noncommutative Geometry and Physics 3, pp 336, World Scientific, Singapore, 2013.
 "SemiFinite Noncommutative Geometry and Some Applications" (with John Phillips and Adam Rennie)
Noncommutative Geometry and Physics 3, pp 3758, World Scientific, Singapore 2013.

"Recent Advances in the Study of the Equivariant Brauer Group" (with Peter Bouwknegt and Rishni Ratnam) Noncommutative Geometry and Physics 3, pp 335358, World Scientific, Singapore 2013.
BOOKS EDITED
 "Confronting the Infinite", (Eds: A.L. Carey, W. Ellis, P.A. Pearce, A.W. Thomas), World Scientific, 1995
 Australian Mathematical Society Lecture Series, "Algebraic groups and Related Subjects: a Volum in Honour of R. W. Richardson", (Eds: G.I. Lehrer with A.L. Carey, T. Carroll, M.K. Murray, T. Springer), Cambridge University Press, 1996
 Australian Mathematical Society Lecture Series, "Geometric analysis and lie theory in Mathematics and Physics" (Eds: A.L. Carey and M.K. Murray), Cambridge University Press, 1998
 Clay Mathematics Proceedings, Vol 12, "Motives, Quantum Field Theory and Pseudodifferential Operators", (Eds: Alan Carey. David Ellwood, Sylvie Paycha, Steven Rosenberg), American Mathematical Society, Providence RI, 2010

European Mathematical Society Lectures in Mathematics and Physics, "Noncommutative Geometry and Physics: Renormalisation, Motives, Index Theory", 2011.
