Infinitely presented small cancellation groups have the Haagerup property

DOI10.1142/S1793525315500144zbMath1362.20028arXiv1212.4866OpenAlexW2121857835MaRDI QIDQ5262369

Goulnara N. Arzhantseva, Damian Osajda

Publication date: 13 July 2015

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.4866

zbMATH Keywords

small cancellation theoryHaagerup propertyGromov's a-\(T\)-menability

Mathematics Subject Classification ID

Geometric group theory (20F65) (K)-theory and operator algebras (including cyclic theory) (46L80) Hyperbolic groups and nonpositively curved groups (20F67) Cancellation theory of groups; application of van Kampen diagrams (20F06) Embeddings of discrete metric spaces into Banach spaces; applications in topology and computer science (46B85)

Related Items (11)

CAT(0) cube complexes with flat hyperplanes ⋮ Infinitely presentedC(6)-groups are SQ-universal ⋮ Almost quasi-isometries and more non-C*-exact groups ⋮ Infinitely presented graphical small cancellation groups are acylindrically hyperbolic ⋮ Sofic boundaries of groups and coarse geometry of sofic approximations ⋮ On characterizations of amenable \(\mathrm{C}^*\)-dynamical systems and new examples ⋮ Warped cones over profinite completions ⋮ Negative curvature in graphical small cancellation groups ⋮ Group approximation in Cayley topology and coarse geometry Part I: Coarse embeddings of amenable groups ⋮ Group approximation in Cayley topology and coarse geometry. II: Fibred coarse embeddings ⋮ Straightening warped cones

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