Abstract Bott periodicity in KK-theory

DOI10.1007/BF01054450zbMath0716.46051MaRDI QIDQ753097

Richard Zekri

Publication date: 1990

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

zbMATH Keywords

homotopy classescrossed productalgebra of compact operatorsabstract Bott elementsabstract Bott periodicity theoremsKasparov group for separable, trivially graded \(C^ *\)-algebras

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Noncommutative dynamical systems (46L55) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20)

Related Items

The fine structure of the Kasparov groups. I: Continuity of the KK-pairing

Cites Work

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• Connes’ analogue for crossed products of the Thom isomorphism