Thom elements and bivariant cyclic cohomology

DOI10.1007/BF00966116zbMath0784.46058MaRDI QIDQ1207513

Richard Zekri

Publication date: 1 April 1993

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

zbMATH Keywords

crossed productThom isomorphismbivariant cyclic cohomologybivariant periodic cohomologydifferentiable Thom elementssmooth dynamical \(\mathbb{R}\) systems with unital algebra

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20)

Cites Work

• Excision in cyclic homology and in rational algebraic K-theory
• Caractère de Chern bivariant. (Bivariant Chern character)
• Cyclic homology and the Lie algebra homology of matrices
• Non-commutative differential geometry
• Cyclic cohomology for one-parameter smooth crossed products
• An analogue of the Thom isomorphism for crossed products of a C* algebra by an action of R
• Connes' analogue of the Thom Isomorphism for the Kasparov groups
• On the Chern character of a theta-summable Fredholm module
• Bivariant cyclic theory
• Cyclic homology, comodules, and mixed complexes
• Factorization in some Fréchet algebras of differentiable functions

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