-invisibility and a class of local similarity groups

DOI10.1112/S0010437X14007313zbMath1323.20050arXiv1304.6843MaRDI QIDQ2931766

Roman Sauer, Werner Thumann

Publication date: 27 November 2014

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

Full work available at URL: https://arxiv.org/abs/1304.6843

zbMATH Keywords

group homologyzero-in-the-spectrum conjectureThompson group \(V\)regular unitary representation\(l^2\)-cohomology\(l^2\)-invisible groupsgroups of type \(F_\infty\)local similarity groups

Mathematics Subject Classification ID

Homological methods in group theory (20J05) Unitary representations of locally compact groups (22D10)

Cites Work

• Local similarities and the Haagerup property. With an appendix by Daniel S. Farley.
• Constructing finitely presented simple groups that contain Grigorchuk groups
• Trees and ultrametric spaces: A categorical equivalence
• The group homology and an algebraic version of the zero-in-the-spectrum conjecture
• Finiteness properties of groups
• On the zero-in-the-spectrum conjecture

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