The reduced group C*-algebra of a triangle building

DOI10.1017/S0004972700031889zbMath0906.22004OpenAlexW2150116107MaRDI QIDQ4209924

Z. Zappa, Anna Maria Mantero

Publication date: 31 January 1999

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700031889

zbMATH Keywords

affine buildinggroup \(C^*\)-algebra

Mathematics Subject Classification ID

Geometric group theory (20F65) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Buildings and the geometry of diagrams (51E24)

Related Items (1)

Simple purely infinite \(C^*\)-algebras and \(n\)-filling actions

Cites Work

• Groups acting simply transitively on the vertices of a building of type \(\tilde A_ 2\). I
• Simplicity of the \(C^*\)-algebra associated with the free group on two generators
• Property \((T)\) and \(\widetilde{A}_ 2\) groups
• Some groups whose reduced \(C^*\)-algebra is simple
• Actions of Cartan subgroups
• Triangle buildings and actions of type \(\text{III}_{1/q^ 2}\)
• C*-Algebras Arising from Group Actions on the Boundary of a Triangle Building

This page was built for publication: The reduced group C*-algebra of a triangle building