Nilpotency of Connes' periodicity operator and the idempotent conjectures

DOI10.1007/BF00965459zbMath0826.46063OpenAlexW2006021318WikidataQ122890528 ScholiaQ122890528MaRDI QIDQ1895844

Ronghui Ji

Publication date: 13 August 1995

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

Full work available at URL: https://doi.org/10.1007/bf00965459

zbMATH Keywords

cyclic cohomologydiscrete groupstorsion freeidempotent conjecturesperiodicity operators

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) (K)-theory and homology; cyclic homology and cohomology (19D55)

Related Items (13)

The cyclic homology of crossed-product algebras. I ⋮ Cyclic homology and group actions ⋮ Rational Reidemeister trace of an outer automorphism of finite order ⋮ Burghelea conjecture and asymptotic dimension of groups ⋮ Secondary higher invariants and cyclic cohomology for groups of polynomial growth ⋮ Noncommutative geometry and conformal geometry: I. Local index formula and conformal invariants ⋮ Bass conjecture and the group trace property ⋮ Projective modules, augmentation and idempotents in group algebras ⋮ A vanishing theorem for tautological classes of aspherical manifolds ⋮ On the Hochschild homology of \(\ell^1\)-rapid decay group algebras ⋮ Periodicity and cyclic homology. Para-\(S\)-modules and perturbation lemmas ⋮ Gottlieb's theorem for a periodic equivalence ⋮ A module structure on cyclic cohomology of group graded algebras

Cites Work

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• Non-commutative differential geometry
• The cyclic homology of the group rings
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• Rational subgroups of biautomatic groups
• Smooth dense subalgebras of reduced group \(C^*\)-algebras, Schwartz cohomology of groups, and cyclic cohomology
• Cyclic cohomology, the Novikov conjecture and hyperbolic groups

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