K-theory for certain group \(C^*\)-algebras

DOI10.1007/BF02393207zbMath0542.46031MaRDI QIDQ795284

E. Christopher Lance

Publication date: 1983

Published in: Acta Mathematica (Search for Journal in Brave)

zbMATH Keywords

K-theoretic techniques in \(C^*\)-algebrasKasparov's KK-theory

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) General theory of (C^*)-algebras (46L05)

Related Items

The \(K\)-groups of the \(C^*\)-algebra of a semicircular family ⋮ KK-groups of crossed products by groups acting on trees ⋮ KK-theory of reduced free-product \(C^*\)-algebras ⋮ On the KK-theory and the \(E\)-theory of amalgamated free products of \(C^{\ast}\)-algebras. ⋮ \(K\)-theory and exact sequences of partial translation algebras ⋮ A random matrix approach to the lack of projections in \(C_{\mathrm {red}}^{\ast}(\mathbb F_2)\) ⋮ Hecke operators in \(KK\)-theory and the \(K\)-homology of Bianchi groups

Cites Work

• Notes on extensions of \(C^*\)-algebras
• Connection of the dual space of a group with the structure of its closed subgroups
• The role of 𝐾-theory in noncommutative algebraic topology
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