On equivariant Kasparov theory and Spanier-Whitehead duality

DOI10.1007/BF00966118zbMath0811.46075MaRDI QIDQ1207515

Claude L. Schochet

Publication date: 1 April 1993

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

zbMATH Keywords

equivariant stable homotopy theoryequivariant \(KK\)-theorypro-\(C^*\)-algebras\(\sigma\)-\(C^*\)-algebrascommutative \(G\)-\(C^*\)-algebrasequivariant Spanier- Whitehead dualityequivariant Steenrod \(K\)-homologyKasparov groupsecond countable compact Lie group

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20)

Related Items (1)

Euler characteristics and Gysin sequences for group actions on boundaries

Cites Work

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• Representable K-theory for \(\sigma\)-C\({}^*\)-algebras
• Equivariant KK-theory and the Novikov conjecture
• Triangulation of stratified fibre bundles
• Topological methods for \(C^*\)-algebras. III: Axiomatic homology
• Generalized homology theories on compact metric spaces
• KK-groups for generalized operator algebras. I
• KK-groups for generalized operator algebras. II
• Some Functorial Constructions on G-Spaces
• Equivariant Homotopy Theory and Milnor's Theorem
• THE OPERATORK-FUNCTOR AND EXTENSIONS OFC*-ALGEBRAS

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