Alan L. Carey

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Person:294055

Available identifiers

zbMath Open carey.alan-lWikidataQ67065443 ScholiaQ67065443MaRDI QIDQ294055

List of research outcomes

PublicationDate of PublicationType
On a conjectured property of the Witten index and an application to Levinson's theorem2023-08-13Paper
The Limiting Absorption Principle for Massless Dirac Operators, Properties of Spectral Shift Functions, and an Application to the Witten Index of Non-Fredholm Operators2023-07-18Paper
Index theory beyond the Fredholm case2022-11-08Paper
The Witten index and the spectral shift function2022-07-15Paper
The KO-valued spectral flow for skew-adjoint Fredholm operators2022-07-15Paper
The Fermi gerbe of Weyl semimetals2021-07-07Paper
The product formula for regularized Fredholm determinants2021-03-19Paper
Spectral flow of monopole insertion in topological insulators2019-09-03Paper
Spectral flow for skew-adjoint Fredholm operators2019-03-20Paper
The Spectral Shift Function and the Witten Index2018-11-20Paper
On the global limiting absorption principle for massless Dirac operators2018-07-26Paper
The non-unital version of Connes' theorem on the Hochschild class of the Chern character2018-03-07Paper
On the Witten index in terms of spectral shift functions2017-10-12Paper
Topological invariance of the homological index2017-08-21Paper
Double operator integral methods applied to continuity of spectral shift functions2017-03-14Paper
On the index of a non-Fredholm model operator2017-01-12Paper
Trace formulas for a class of non-Fredholm operators: A review2016-12-14Paper
Universal measurability and the Hochschild class of the Chern character2016-06-09Paper
A non-commutative framework for topological insulators2016-05-13Paper
On index theory for non-Fredholm operators: A (1 + 1)-dimensional example2016-05-11Paper
On a spectral flow formula for the homological index2016-01-15Paper
The bulk-edge correspondence for the quantum Hall effect in Kasparov theory2015-08-28Paper
Spectral Flow for Nonunital Spectral Triples2015-07-27Paper
The Spectral shift function and the Witten index2015-05-19Paper
Anomalies of Dirac type operators on Euclidean space2015-03-11Paper
Index theory for locally compact noncommutative geometries2014-10-17Paper
A Jost-Pais-type reduction of Fredholm determinants and some applications2014-07-10Paper
https://portal.mardi4nfdi.de/entity/Q54182242014-06-03Paper
https://portal.mardi4nfdi.de/entity/Q54182252014-06-03Paper
Recent advances in the study of the Equivariant Brauer Group2014-06-03Paper
K-cycles for twisted K-homology2014-02-24Paper
Higher spectral flow and an entire bivariant JLO cocycle2013-04-29Paper
https://portal.mardi4nfdi.de/entity/Q31454902012-12-20Paper
https://portal.mardi4nfdi.de/entity/Q29101872012-09-07Paper
Modular Index Invariants of Mumford Curves2012-08-24Paper
Integration on locally compact noncommutative spaces2012-08-10Paper
Measurable operators and the asymptotics of heat kernels and zeta functions2012-06-08Paper
https://portal.mardi4nfdi.de/entity/Q31183282012-03-02Paper
https://portal.mardi4nfdi.de/entity/Q31087622012-01-05Paper
A Chern-Weil Isomorphism for the Equivariant Brauer Group2011-09-15Paper
Families of type III KMS states on a class of \(C^*\)-algebras containing \(O_n\) and \({\mathcal Q}_{\mathbb N}\)2011-03-21Paper
Twisted cyclic theory, equivariant KK-theory and KMS states2011-03-11Paper
Riemann-Roch and index formulae in twisted K-theory2011-03-02Paper
Twisted cyclic theory and an index theory for the gauge invariant KMS state on the Cuntz algebra On2010-12-14Paper
A Dirac type operator on the non-commutative disk2010-09-20Paper
https://portal.mardi4nfdi.de/entity/Q35854362010-08-19Paper
Noncommutative Atiyah-Patodi-Singer boundary conditions and index pairings in KK-theory2010-07-13Paper
Spectral flow is the integral of one forms on the Banach manifold of self adjoint Fredholm operators2009-10-14Paper
On the analyticity of the bivariant JLO cocycle2009-07-29Paper
Differential twisted K-theory and applications2009-05-19Paper
Operator Integrals, Spectral Shift, and Spectral Flow2009-04-30Paper
https://portal.mardi4nfdi.de/entity/Q36167302009-03-26Paper
Fusion of symmetric D-branes and Verlinde rings2009-03-26Paper
Dirac operators on noncommutative manifolds with boundary2008-12-31Paper
Thom isomorphism and push-forward map in twisted K-theory2008-09-29Paper
Semifinite spectral triples associated with graph C*-algebras2008-09-25Paper
The Chern character of semifinite spectral triples2008-07-21Paper
Dixmier traces and some applications in non-commutative geometry2008-07-01Paper
The spectral shift function and spectral flow2008-01-16Paper
The Dixmier trace and asymptotics of zeta functions2007-09-13Paper
https://portal.mardi4nfdi.de/entity/Q35936882007-07-23Paper
Examples of odd index theorems2007-03-27Paper
Quantum Hall effect and noncommutative geometry2007-01-03Paper
On the relationship of gerbes to the odd families index theorem2006-12-07Paper
The local index formula in semifinite von Neumann algebras. I: Spectral flow2006-07-12Paper
The local index formula in semifinite von Neumann algebras. II: the even case2006-07-12Paper
Bundle gerbes for Chern-Simons and Wess-Zumino-Witten theories2006-03-21Paper
On the problem of the amenability of the gauge group2005-12-08Paper
L2 TORSION WITHOUT THE DETERMINANT CLASS CONDITION AND EXTENDED L2 COHOMOLOGY2005-11-21Paper
Holonomy on \(D\)-branes2005-06-13Paper
The Hochschild class of the Chern character for semifinite spectral triples2004-10-01Paper
Spectral flow in Fredholm modules, eta invariants and the JLO cocycle2004-08-06Paper
Loop groups and quantum fields2004-05-18Paper
Hilbert \(C^*\)-systems for actions of the circle group2003-04-01Paper
Spectral flow and Dixmier traces2003-03-26Paper
THE GEOMETRIC TRIANGLE FOR 3-DIMENSIONAL SEIBERG–WITTEN MONOPOLES2003-01-01Paper
Seiberg-Witten-Floer homology and gluing formulae2003-01-01Paper
Twisted \(K\)-theory and \(K\)-theory of bundle gerbes2002-12-01Paper
The universal Gerbe, Dixmier-Douady class, and gauge theory2002-06-11Paper
Correspondences, von Neumann Algebras and Holomorphic L2 Torsion2002-03-25Paper
https://portal.mardi4nfdi.de/entity/Q45193192002-01-17Paper
https://portal.mardi4nfdi.de/entity/Q27110852001-05-02Paper
Quantum Hall effect on the hyperbolic plane in the presence of disorder2001-04-02Paper
A gerbe obstruction to quantization of fermions on odd-dimensional manifolds with boundary.2000-12-06Paper
BUNDLE GERBES APPLIED TO QUANTUM FIELD THEORY2000-12-04Paper
On unbounded \(p\)-summable Fredholm modules2000-10-23Paper
https://portal.mardi4nfdi.de/entity/Q49410642000-08-03Paper
The spherical phylon group and invariants of the Laplace approximation2000-07-17Paper
https://portal.mardi4nfdi.de/entity/Q44867602000-06-29Paper
Unbounded Fredholm Modules and Spectral Flow1999-07-07Paper
Von Neumann spectra near the spectral gap1999-04-22Paper
Loop groups, anyons and the Calogero-Sutherland model1999-01-01Paper
Quantum Hall effect on the hyperbolic plane1998-10-21Paper
Principal bundles and the Dixmier Douady class1998-10-14Paper
Index theory, gerbes, and Hamiltonian quantization1998-05-25Paper
Higher bundle gerbes and cohomology classes in gauge theories1998-04-02Paper
Multiple phases and return to equilibrium1998-03-24Paper
Quantum groups at odd roots of unity and topological invariants of 3-manifolds1998-03-22Paper
Determinant lines, von Neumann algebras and $L^2$ torsion1997-05-20Paper
https://portal.mardi4nfdi.de/entity/Q43385961997-01-01Paper
The spherical phylon group and invariants of the Laplace transform1996-11-25Paper
A discrete model of the integer quantum Hall effect1996-10-31Paper
Faddeev's anomaly and bundle gerbes1996-10-21Paper
Realizing 3-cocycles as obstructions1996-10-15Paper
Infinite dimensional groups and Riemann surface field theories1996-08-22Paper
A Kirillov theory for divisible nilpotent groups1996-02-22Paper
General existence theorems for orthonormal wavelets, an abstract approach1995-08-15Paper
Group actions on C\(^*\)-algebra, 3-cocycles and quantum field theory1995-08-03Paper
The Landau-Lifshitz equation, elliptic curves and the Ward transform1993-11-07Paper
\(L^ 2\)-torsion invariants1993-05-02Paper
https://portal.mardi4nfdi.de/entity/Q40222421993-01-17Paper
SIMPLE EXAMPLES OF CONFORMAL FIELD THEORIES1992-06-25Paper
Non-monomial multiplier representations of abelian groups1992-06-25Paper
Algebras almost commuting with Clifford algebras in a \(II_{\infty}\) factor1991-01-01Paper
String structures and the path fibration of a group1991-01-01Paper
The Pompeiu problem for groups1991-01-01Paper
https://portal.mardi4nfdi.de/entity/Q33503221990-01-01Paper
Algebras almost commuting with Clifford algebras1990-01-01Paper
Riemann surfaces, Clifford algebras and infinite dimensional groups1990-01-01Paper
Higher-order tensors, strings and new tensors1990-01-01Paper
Degenerate forms of Maxwell's equations1990-01-01Paper
Gauge anomalies on S2 and group extensions1989-01-01Paper
https://portal.mardi4nfdi.de/entity/Q42048121989-01-01Paper
Infinite complex spin groups1989-01-01Paper
https://portal.mardi4nfdi.de/entity/Q34736611988-01-01Paper
https://portal.mardi4nfdi.de/entity/Q30328261988-01-01Paper
https://portal.mardi4nfdi.de/entity/Q30339941988-01-01Paper
https://portal.mardi4nfdi.de/entity/Q37991121987-01-01Paper
Temperature states on loop groups, theta functions and the Luttinger model1987-01-01Paper
On fermionic gauge groups, current algebras and Kac-Moody algebras1987-01-01Paper
On an automorphic action of U(n,1) on \({\mathcal O}_ n\)1987-01-01Paper
https://portal.mardi4nfdi.de/entity/Q37347431986-01-01Paper
Existence and regularity results for Maxwell's equations in the quasi-static limit1986-01-01Paper
Nilpotent groups with $T_{1}$ primitive ideal spaces1986-01-01Paper
Holonomy and the Wess-Zumino term1986-01-01Paper
https://portal.mardi4nfdi.de/entity/Q36779431985-01-01Paper
https://portal.mardi4nfdi.de/entity/Q36994301985-01-01Paper
https://portal.mardi4nfdi.de/entity/Q37041161985-01-01Paper
A note on the Boson-Fermion correspondence and infinite dimensional groups1985-01-01Paper
https://portal.mardi4nfdi.de/entity/Q32227271984-01-01Paper
Characters of nilpotent groups1984-01-01Paper
https://portal.mardi4nfdi.de/entity/Q33452961984-01-01Paper
https://portal.mardi4nfdi.de/entity/Q36749951984-01-01Paper
Erratum to ``Absence of Vacuum polarisation in fock space1984-01-01Paper
Extending derivations1984-01-01Paper
Some infinite dimensional groups and bundles1984-01-01Paper
Projective representations of the Hilbert Lie group \({\mathcal U}(H)_ 2\) via quasifree states on the CAR algebra1984-01-01Paper
Non-Monomial Unitary Representations of Nilpotent Groups I: The Abelian Case1983-01-01Paper
Automorphisms of the infinite dimensional Clifford algebra and the Atiyah-Singer mod 2 index1983-01-01Paper
On the group theoretic approach to the canonical anticommutation relations1983-01-01Paper
Infinite dimensional groups and quantum field theory1983-01-01Paper
Absence of vacuum polarisation in Fock space1982-01-01Paper
Automorphisms of the canonical anticommutation relations and index theory1982-01-01Paper
A C*-algebra approach to the Schwinger model1981-01-01Paper
https://portal.mardi4nfdi.de/entity/Q38650371978-01-01Paper
Group representations in reproducing kernel Hilbert spaces1978-01-01Paper
Twistors and geometric quantisation theory1978-01-01Paper
A C*-algebra formulation of the quantization of the electromagnetic field1977-01-01Paper
https://portal.mardi4nfdi.de/entity/Q41326911977-01-01Paper
Induced representations, reproducing kernels and the conformal group1977-01-01Paper
Square-integrable representations of non-unimodular groups1976-01-01Paper

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