Quasi homomorphismes, cohomologie cyclique et positivité. (Quasi homomorphisms, cyclic cohomology and positivity)

DOI10.1007/BF01242141zbMath0664.46067OpenAlexW1977800563WikidataQ102144683 ScholiaQ102144683MaRDI QIDQ1114906

Joachim Cuntz, Alain Connes

Publication date: 1988

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01242141

zbMATH Keywords

cyclic cohomologyuniversal algebrapositive tracepositivity for cyclic cocyclesSchatten ideal of p-summable operatorstype I or II Fredholm module

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20)

Related Items (27)

Simplicial normalization in the entire cyclic cohomology of Banach algebras ⋮ Local cyclic homology ⋮ Inner fluctuations of the spectral action ⋮ Entire cyclic cohomology of Banach algebras and characters of \(\theta\)- summable Fredholm modules ⋮ On Hopf-cyclic cohomology and Cuntz algebra. ⋮ Unnamed Item ⋮ The homogeneous coordinate ring of the quantum projective plane ⋮ Constructing KMS states from infinite-dimensional spectral triples ⋮ Noncommutative complex structures on quantum homogeneous spaces ⋮ Noncommutative geometry and theoretical physics ⋮ Cyclic cohomology and algebra extensions ⋮ Noncommutative complex geometry of the quantum projective space ⋮ Free products, cyclic homology, and the Gauss-Manin connection ⋮ Quillen's work on the foundations of cyclic cohomology ⋮ A bivariant Chern character for \(p\)-summable quasihomomorphisms ⋮ A short survey of noncommutative geometry ⋮ The Ricci flow on noncommutative two-tori ⋮ Algebra Extensions and Nonsingularity ⋮ Cyclic Homology and Nonsingularity ⋮ Twisted sigma-model solitons on the quantum projective line ⋮ Spectral triples for noncommutative solenoidal spaces from self-coverings ⋮ Untwisting twisted spectral triples ⋮ Index theory for locally compact noncommutative geometries ⋮ The Godbillon-Vey invariant and equivariant \(KK\)-theory ⋮ Noncommutative Kähler structure on \(C^\ast\)-dynamical systems ⋮ Type II non-commutative geometry. I: Dixmier trace in von Neumann algebras ⋮ On the Chern character of \(\theta \) summable Fredholm modules

Cites Work

• Cyclic homology and the Lie algebra homology of matrices
• Non-commutative differential geometry
• A new look at KK-theory
• Tomita's theory of modular Hilbert algebras and its applications
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Quasi homomorphismes, cohomologie cyclique et positivité. (Quasi homomorphisms, cyclic cohomology and positivity)