Equivariant entire cyclic cohomology. I: Finite groups

DOI10.1007/BF00569446zbMath0744.46063OpenAlexW2031342843MaRDI QIDQ1814101

Andrzej Lesniewski, Witold III Kondracki, Sławomir Klimek-Chudy

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1007/bf00569446

zbMATH Keywords

cohomology groups\(K\)-theorygroup actionConnes' entire cyclic cohomologyequivariant context

Mathematics Subject Classification ID

Noncommutative topology (46L85) Noncommutative differential geometry (46L87) (K)-theory and operator algebras (including cyclic theory) (46L80)

Related Items

Equivariant bivariant cyclic theory and equivariant Chern-Connes character ⋮ Foundations of an equivariant cohomology theory for Banach algebras. II ⋮ The \(K\)-homology of nets of \(C^\ast\)-algebras ⋮ Equivariant calculus in the differential envelope ⋮ Connes' Pairings for a NewK-Theory over Weak Hopf Algebras ⋮ The equivariant index theorem in entire cyclic cohomology ⋮ On the Lefschetz problem in noncommutative geometry. ⋮ Chern character in equivariant entire cyclic cohomology ⋮ Quantum harmonic analysis and geometric invariants ⋮ A higher Lefschetz formula for flat bundles

Cites Work

• Elliptic genera and quantum field theory
• Quantum K-theory. II: Homotopy invariance of the Chern character
• Cyclic homology and the Lie algebra homology of matrices
• Equivariant K-theory and freeness of group actions on \(C^ *\)-algebras
• Quantum K-theory. I: The Chern character
• Entire cyclic cohomology of Banach algebras and characters of \(\theta\)- summable Fredholm modules
• Entire cyclic cohomology of \({\mathbb{Z}}/2\)-graded Banach algebras
• On the Chern character of a theta-summable Fredholm module
• Chern character in equivariant entire cyclic cohomology
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