Quillen's work on the foundations of cyclic cohomology

DOI10.1017/is012011006jkt201zbMath1286.22005arXiv1202.5958OpenAlexW2963014333MaRDI QIDQ5397683

Joachim Cuntz

Publication date: 24 February 2014

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

Full work available at URL: https://arxiv.org/abs/1202.5958

zbMATH Keywords

excisioncyclic homologyalgebra extension

Mathematics Subject Classification ID

(C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89) Algebraic numbers; rings of algebraic integers (11R04) Relations with noncommutative geometry (11M55)

Cites Work

• Excision in cyclic homology and in rational algebraic K-theory
• Cyclic cohomology and algebra extensions
• Local and analytic cyclic homology
• Cyclic homology, derivations, and the free loopspace
• Smooth algebras
• Quantum K-theory. I: The Chern character
• Entire cyclic cohomology of Banach algebras and characters of \(\theta\)- summable Fredholm modules
• Quasi homomorphismes, cohomologie cyclique et positivité. (Quasi homomorphisms, cyclic cohomology and positivity)
• A bivariant Chern character for families of spectral triples
• Bivariant cyclic theory
• Bivariant cyclic cohomology and models for cyclic homology types
• Equivariant cyclic homology and equivariant differential forms
• EQUIVARIANT PERIODIC CYCLIC HOMOLOGY
• Excision in cyclic homology theories
• Excision in entire cyclic cohomology

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