A Bott periodicity map for crossed products of C *-algebras by discrete groups

DOI10.1007/BF00539627zbMath0638.46047OpenAlexW2061137244MaRDI QIDQ1099375

George A. Elliott, Toshikazu Natsume

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1007/bf00539627

zbMATH Keywords

torsion-free groupsBott periodicity mapC *-algebracrossed products of C *-algebras by discrete groupsPimsner-Voiculescu mapPowers-Rieffel projection

Mathematics Subject Classification ID

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

Related Items

Euler characteristic and the class of unit in K-theory ⋮ Cyclic cohomology of crossed products with \({\mathbb{Z}}\) ⋮ Characterizing group C*-algebras through their unitary groups: the Abelian case ⋮ EDGE CURRENT CHANNELS AND CHERN NUMBERS IN THE INTEGER QUANTUM HALL EFFECT ⋮ Unbounded symmetric operators in \(K\)-homology and the Baum-Connes conjecture

Cites Work

• KK-groups of crossed products by groups acting on trees
• C*-algebras associated with irrational rotations
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