Chern character in equivariant entire cyclic cohomology

DOI10.1007/BF00569447zbMath0744.46064OpenAlexW2011176999MaRDI QIDQ1814102

Andrzej Lesniewski, 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/bf00569447

zbMATH Keywords

\(C^*\)-dynamical systemequivariant \(K\)-theoryChern character\(G\)-quantum algebracharacter-valued index of the Dirac operatorConnes' index theoremequivariant entire cyclic cohomology

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) (K)-theory and operator algebras (including cyclic theory) (46L80) Noncommutative dynamical systems (46L55)

Related Items

Equivariant bivariant cyclic theory and equivariant Chern-Connes character ⋮ The noncommutative infinitesimal equivariant index formula. II. ⋮ TWISTED ENTIRE CYCLIC COHOMOLOGY, J-L-O COCYCLES AND EQUIVARIANT SPECTRAL TRIPLES ⋮ The equivariant noncommutative Atiyah-Patodi-Singer index theorem ⋮ The \(K\)-homology of nets of \(C^\ast\)-algebras ⋮ The equivariant index theorem in entire cyclic cohomology ⋮ Equivariant entire cyclic cohomology. I: Finite groups ⋮ Quantum harmonic analysis and geometric invariants ⋮ A local index formula for the quantum sphere ⋮ The Noncommutative Infinitesimal Equivariant Index Formula

Cites Work

• Elliptic genera and quantum field theory
• On super-KMS functionals and entire cyclic cohomology
• Deformations of super-KMS functionals
• 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
• Equivariant entire cyclic cohomology. I: Finite groups

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