Exotic \(\mathrm{C}^*\)-algebras of geometric groups

DOI10.1016/j.jfa.2023.110228arXiv1809.07007OpenAlexW2890693951MaRDI QIDQ6184598

Ebrahim Samei, Matthew Wiersma

Publication date: 25 January 2024

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.07007

zbMATH Keywords

rapid decay propertyKunze-Stein groups\(L^p\)-summable unitary representationsexotic group \(C^\ast \)-algebrasintegrable Haagerup property

Mathematics Subject Classification ID

Geometric group theory (20F65) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) General theory of (C^*)-algebras (46L05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On exotic group C*-algebras
• Quasi-actions and generalised Cayley-Abels graphs of locally compact groups
• \(L^p\)-Fourier and Fourier-Stieltjes algebras for locally compact groups
• Groups of isometries of a tree and the Kunze-Stein phenomenon
• The Kunze-Stein phenomenon
• An example of a non nuclear C*-algebra, which has the metric approximation property
• Groups acting on \(\text{CAT}(0)\) cube complexes
• Exotic crossed products and the Baum-Connes conjecture
• \({L_{p}}\)-representations of discrete quantum groups
• Spectral invariance of smooth crossed products, and rapid decay locally compact groups
• On the growth of Hermitian groups
• Constructions of exotic group \(C^\ast\)-algebras
• Exotic group C*-algebras in noncommutative duality
• Distances hilbertiennes invariantes sur un espace homogene
• Some geometric groups with rapid decay
• Maximality of dual coactions on sectional $C^{*}$-algebras of Fell bundles and applications
• Exotic Coactions
• Exact large ideals of 𝐵(𝐺) are downward directed
• New C*-completions of discrete groups and related spaces
• Free group C*-algebras associated with ℓ_p
• Rapidly Decreasing Functions in Reduced C ∗ -Algebras of Groups
• On the degree of rapid decay
• Tensor Products of Unitary Representations of SL 2 (R)
• The Kunze–Stein phenomenon on the isometry group of a tree
• C*‐norms for tensor products of discrete group C*‐algebras
• Exotic Crossed Products
• Free groups and quasidiagonality
• Properness conditions for actions and coactions
• Uniformly Bounded Representations and Harmonic Analysis of the 2 x 2 Real Unimodular Group
• Intermediate spaces and interpolation, the complex method
• Groups with the Haagerup property. Gromov's a-T-menability

This page was built for publication: Exotic \(\mathrm{C}^*\)-algebras of geometric groups