The full group C$^{*}$-algebra of the modular group is primitive

DOI10.1090/S0002-9939-2011-11143-2zbMath1246.46048arXiv0906.4916OpenAlexW2047138652MaRDI QIDQ5389401

Erik Bedos, Tron Å. Omland

Publication date: 26 April 2012

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

Full work available at URL: https://arxiv.org/abs/0906.4916

zbMATH Keywords

irreducible representationsprimitivefull group \(C^{\ast}\)-algebra

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) General theory of (C^*)-algebras (46L05)

Related Items (1)

Primitivity of unital full free products of residually finite dimensional \(C^\ast\)-algebras

Cites Work

• Unitary representations of group extensions. I
• Irreducibly represented groups
• On the irreducibility of an induced representation
• The full C*-algebra of the free group on two generators
• On non-semisplit extensions, tensor products and exactness of group \(C^*\)-algebras
• Some groups whose reduced \(C^*\)-algebra is simple
• Produits croises d'une \(C^ *\)-algèbre par un groupe d'automorphismes
• Borel Structure in Groups and Their Duals
• On simplicity of reduced C*-algebras of groups
• On the Irreducibility of an Induced Representation. II
• Twisted crossed products of C*-algebras
• PRIMITIVITY CONDITIONS FOR FULL GROUP C*-ALGEBRAS
• Twisted group $C^*$-algebras corresponding to nilpotent discrete groups.
• \(C^*\)-algebras by example
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The full group C$^{*}$-algebra of the modular group is primitive