The equivariant index theorem in entire cyclic cohomology

DOI10.1017/is008004027jkt047zbMath1171.19003arXivmath/0410315OpenAlexW2027375469MaRDI QIDQ3628703

Denis Perrot

Publication date: 20 May 2009

Published in: Journal of K-Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0410315

zbMATH Keywords

\(K\)-theoryindex theoryassembly map: entire cyclic cohomology

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) (K)-theory and operator algebras (including cyclic theory) (46L80) (K)-theory and homology; cyclic homology and cohomology (19D55) Index theory and related fixed-point theorems on manifolds (58J20) Index theory (19K56)

Related Items (3)

Quasihomomorphisms and the residue Chern character ⋮ Index theory for locally compact noncommutative geometries ⋮ Localization over complex-analytic groupoids and conformal renormalization

Cites Work

• Retraction of the bivariant Chern character
• Quantum K-theory. I: The Chern character
• Entire cyclic cohomology of Banach algebras and characters of \(\theta\)- summable Fredholm modules
• Transgression and the Chern character of finite-dimensional K-cycles
• A bivariant Chern character for families of spectral triples
• Cyclic cohomology, the Novikov conjecture and hyperbolic groups
• Equivariant entire cyclic cohomology. I: Finite groups
• Chern character in equivariant entire cyclic cohomology
• Generalized s-numbers of \(\tau\)-measurable operators
• The index of elliptic operators. III
• Fourier integral operators. I
• Cyclic Homology and Nonsingularity

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