\(K\)-theory for \(C^*\)-algebras of one-relator groups

DOI10.1023/A:1007755408585zbMath0932.46063OpenAlexW2011512505MaRDI QIDQ1283361

Hela Bettaieb, Cédric Béguin, Alain Valette

Publication date: 28 February 2000

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

Full work available at URL: https://doi.org/10.1023/a:1007755408585

zbMATH Keywords

Baum-Connes conjecturereduced \(C^*\)-algebratorsion-free one-relator group\(K\)-amenabilityfundamental groups of Haken 3-manifolds

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) (K)-theory and operator algebras (including cyclic theory) (46L80) (K)-theory and operator algebras (19K99) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Topological (K)-theory (55N15)

Related Items (13)

On the classifying space for proper actions of groups with cyclic torsion ⋮ \(\mathrm C^*\)-algebras of right LCM one-relator monoids and Artin-Tits monoids of finite type ⋮ Homotopy invariance of higher signatures and $3$-manifold groups ⋮ K-THEORY FOR THE C*-ALGEBRAS OF THE SOLVABLE BAUMSLAG–SOLITAR GROUPS ⋮ Obstructions to matricial stability of discrete groups and almost flat $K$-theory ⋮ Markov Operators on the Solvable Baumslag–Solitar Groups ⋮ 3-manifold group and finite decomposition complexity ⋮ Exactness of one relator groups ⋮ Invariants in noncommutative dynamics ⋮ Boundaries of Baumslag-Solitar groups ⋮ \(K\)-homology and \(K\)-theory of pure braid groups ⋮ Unbounded symmetric operators in \(K\)-homology and the Baum-Connes conjecture ⋮ \(K\)-theory for semigroup \(C^*\)-algebras and partial crossed products

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