Smooth dense subalgebras of reduced group \(C^*\)-algebras, Schwartz cohomology of groups, and cyclic cohomology

DOI10.1016/0022-1236(92)90098-4zbMath0787.46043OpenAlexW2039893281MaRDI QIDQ1198568

Ronghui Ji

Publication date: 16 January 1993

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(92)90098-4

zbMATH Keywords

cyclic cohomology of Connesdiscrete group of polynomial growthnontrivial idempotents in the group \(C^*\)-algebra of a torsion free group of polynomial growthSchwartz (co)homology of a discrete group with a length function

Mathematics Subject Classification ID

Noncommutative topology (46L85) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) General theory of (C^*)-algebras (46L05)

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Cites Work

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• K-theory of reduced \(C^*\)-algebras and rapidly decreasing functions on groups
• Group cohomology and the cyclic cohomology of crossed products
• C*-algebras, positive scalar curvature, and the Novikov conjecture
• Homology and cohomology for topological algebras
• Cyclic homology and the Lie algebra homology of matrices
• Non-commutative differential geometry
• The cyclic homology of the group rings
• Equivariant KK-theory and the Novikov conjecture
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• Cyclic cohomology, the Novikov conjecture and hyperbolic groups
• Rapidly Decreasing Functions in Reduced C ∗ -Algebras of Groups
• Groups of cohomological dimension one

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