A Bott periodicity theorem for infinite dimensional Euclidean space

DOI10.1006/aima.1997.1706zbMath0911.46040OpenAlexW2003471579MaRDI QIDQ1267995

Gennadi Kasparov, Nigel Higson, Jody Trout

Publication date: 27 January 1999

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/1981f0d4321e77ab8b0e6bc72e6a0a24ae670889

zbMATH Keywords

Clifford algebraNovikov conjectureGrothendieck groupcrossed productcompact groupindex theoryBott periodicity\(\mathbb{Z}/(2)\)-graded \(C^*\)-algebracomplex \(G\)-vector bundleshomotopy invariance of higher signaturesreduced equivariant \(K\)-theory

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Noncommutative dynamical systems (46L55) Kasparov theory ((KK)-theory) (19K35)

Related Items

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Cites Work

• Equivariant KK-theory and the Novikov conjecture
• An analogue of the Thom isomorphism for crossed products of a C* algebra by an action of R
• The index of elliptic operators. I
• Equivariant K-theory
• Operator 𝐾-theory for groups which act properly and isometrically on Hilbert space
• Coarse cohomology and index theory on complete Riemannian manifolds
• BOTT PERIODICITY AND THE INDEX OF ELLIPTIC OPERATORS
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