Caractère de Chern bivariant. (Bivariant Chern character)

DOI10.1007/BF00584526zbMath0701.18008OpenAlexW2040390507MaRDI QIDQ913940

Christian Kassel

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1007/bf00584526

zbMATH Keywords

Chern characterbivariant theoriesbivariant cyclic cohomology groupsGrothendieck group of A-B-bimoduleshomologically unital algebrashomologically unital codomains

Mathematics Subject Classification ID

Nonabelian homological algebra (category-theoretic aspects) (18G50) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25)

Related Items (19)

The cyclic homology of an exact category ⋮ Equivariant bivariant cyclic theory and equivariant Chern-Connes character ⋮ Products, multiplicative Chern characters, and finite coefficients via noncommutative motives ⋮ Weight filtrations via commuting automorphisms ⋮ Bivariant cyclic cohomology and models for cyclic homology types ⋮ Invariance and localization for cyclic homology of DG algebras ⋮ Equivalance de marita relative ⋮ Universal bivariant algebraic \(K\)-theories ⋮ Cyclic cohomology and algebra extensions ⋮ Bivariant algebraic K-theory ⋮ A bivariant Chern character for \(p\)-summable quasihomomorphisms ⋮ Bivariant twisted cyclic theory and spectral sequences of crossed products ⋮ Cyclic homology of Dedekind domains ⋮ Thom elements and bivariant cyclic cohomology ⋮ Cyclic Homology and Nonsingularity ⋮ Bivariant cohomology and $S\sp 1$-spaces ⋮ On the cyclic homology of exact categories ⋮ Bivariant cohomologies of cyclic type. ⋮ Bivariant cyclic cohomology and Connes' bilinear pairings in noncommutative motives

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Excision in cyclic homology and in rational algebraic K-theory
• Cyclic homology and the Lie algebra homology of matrices
• Non-commutative differential geometry
• A new look at KK-theory
• Bivariant cyclic theory
• Cyclic homology, comodules, and mixed complexes
• Centerless groups -- an algebraic formulation of Gottlieb's theorem
• Infinite matrices in algebraic K-theory and topology
• Cohomology and representations of associative algebras
• Homologie cyclique, caractère de Chern et lemme de perturbation.
• Higher algebraic K-theory: I
• Double Centralizers and Extensions of C ∗ -Algebras
• $K$-théorie algébrique et $K$-théorie topologique I.

This page was built for publication: Caractère de Chern bivariant. (Bivariant Chern character)