Exactness of one relator groups

DOI10.1090/S0002-9939-01-06195-0zbMath1039.46046MaRDI QIDQ2781256

Erik Guentner

Publication date: 19 March 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Bass-Serre theoryone relator groupgroup \(C^{*}\)-algebra\(C^{*}\)-exactness

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Group algebras of locally compact groups (22D15)

Related Items (11)

On exactness and isoperimetric profiles of discrete groups ⋮ \(\mathrm C^*\)-algebras of right LCM one-relator monoids and Artin-Tits monoids of finite type ⋮ First \(\ell^2\)-Betti numbers and proper proximality ⋮ Isoperimetry of group actions. ⋮ Obstructions to matricial stability of discrete groups and almost flat $K$-theory ⋮ On Ozawa kernels ⋮ Complexes and exactness of certain Artin groups. ⋮ $K$-exact groups and coarsely embeddable groups ⋮ HNN extensions of von Neumann algebras ⋮ Hyperlinear and Sofic Groups: A Brief Guide ⋮ Von Neumann equivalence and group exactness

Cites Work

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• Equivariant KK-theory and the Novikov conjecture
• \(K\)-theory for \(C^*\)-algebras of one-relator groups
• Boundary amenability for word hyperbolic groups and an application to smooth dynamics of simple groups
• Permanence properties of \(C^*\)-exact groups
• Cyclic cohomology, the Novikov conjecture and hyperbolic groups
• Operations on continuous bundles of \(C^*\)-algebras
• On nuclear C\(^*\)-algebras
• The completely bounded approximation property for discrete crossed products
• Operator 𝐾-theory for groups which act properly and isometrically on Hilbert space
• Amenable actions and exactness for discrete groups
• On one relator groups and HNN extensions
• Exactness and the Novikov conjecture

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