Unbounded Fredholm Modules and Spectral Flow
From MaRDI portal
Publication:4213966
DOI10.4153/CJM-1998-038-xzbMath0915.46063MaRDI QIDQ4213966
Publication date: 7 July 1999
Published in: Canadian Journal of Mathematics (Search for Journal in Brave)
spectral flowindex theory\(K\)-homologyunbounded selfadjoint operatorunital *-algebra\(p\)-summable Fredholm module
Algebras of unbounded operators; partial algebras of operators (47L60) Norms (inequalities, more than one norm, etc.) of linear operators (47A30) (K)-theory and operator algebras (including cyclic theory) (46L80) Perturbation theory of linear operators (47A55) Ext and (K)-homology (19K33) Index theory (19K56)
Related Items
The Hochschild class of the Chern character for semifinite spectral triples, Schatten class estimates for the Riesz map of massless Dirac operators, Generalized Connes–Chern characters inKK-theory with an application to weak invariants of topological insulators, Nonunital spectral triples and metric completeness in unbounded \(KK\)-theory, Spectral flow inside essential spectrum, Trace formulas for perturbations of operators with Hilbert-Schmidt resolvents, \(K\)-theory with \(\mathbb{R}/\mathbb{Z}\) coefficients and von Neumann algebras, Spectral triples for hyperbolic dynamical systems, Topological invariance of the homological index, Chern numbers, localisation and the bulk-edge correspondence for continuous models of topological phases, Unnamed Item, Noncommutative geometry for symmetric non-self-adjoint operators, Callias-type operators associated to spectral triples, Homotopy equivalence in unbounded \(KK\)-theory, The JLO character for the noncommutative space of connections of Aastrup-Grimstrup-Nest, Riemannian manifolds in noncommutative geometry, On a spectral flow formula for the homological index, A Dolbeault-Dirac spectral triple for quantum projective space, A reconstruction theorem for almost-commutative spectral triples, The resolvent cocycle in twisted cyclic cohomology and a local index formula for the Podleś sphere, Integral Formula for Spectral Flow for -Summable Operators, Spectral flow for skew-adjoint Fredholm operators, The spectral localizer for semifinite spectral triples, Sign of a perturbed massive Dirac operator and associated Fredholm module, The spectral shift function and spectral flow, Asymptotic expansions for trace functionals, Noncommutative Atiyah-Patodi-Singer boundary conditions and index pairings in KK-theory, Quantum differentiability on noncommutative Euclidean spaces, Spectral flow as winding number and integral formulas, The local index formula in semifinite von Neumann algebras. I: Spectral flow, The local index formula in semifinite von Neumann algebras. II: the even case, A spectral triple for a solenoid based on the Sierpinski gasket, Twisted cyclic theory and an index theory for the gauge invariant KMS state on the Cuntz algebra On, Spectral averaging for trace compatible operators, Spectral triples for noncommutative solenoidal spaces from self-coverings, Spectral flow is the integral of one forms on the Banach manifold of self adjoint Fredholm operators, Untwisting twisted spectral triples, Index theory for locally compact noncommutative geometries, Twisted cyclic theory, equivariant KK-theory and KMS states, Differential twisted K-theory and applications, Index pairings for \(\mathbb{R}^n\)-actions and Rieffel deformations, On unbounded \(p\)-summable Fredholm modules, ON THE JLO COCYCLE AND ITS TRANSGRESSION IN ENTIRE CYCLIC COHOMOLOGY, Boundaries, spectral triples and \(K\)-homology, The Godbillon-Vey invariant and equivariant \(KK\)-theory, Type II non-commutative geometry. I: Dixmier trace in von Neumann algebras, Cyclic cocycles in the spectral action, KK-Theory and Spectral Flow in von Neumann Algebras, Spectral flow and Dixmier traces
