Uniqueness questions for C*-norms on group rings

Abstract

We provide a large class of discrete amenable groups for which the complex group ring has several C*-completions, thus providing partial evidence towards a positive answer to a question raised by Rostislav Grigorchuk, Magdalena Musat and Mikael Rørdam.

arXiv comment9 pages

References in corpus (2)

• C*-simplicity and the unique trace property for discrete groups
• C*-simplicity and the amenable radical

Cited by in corpus (6)

• A torsion-free algebraically C*-unique group
• On C*-completions of discrete quantum group rings
• Polynomial growth and functional calculus in algebras of integrable cross-sections
• $C^{\ast }$-uniqueness Results for Groupoids
• Invariant $C^{\ast }$-subalgebras of the reduced group $C^{\ast }$-algebra
• Detecting ideals in reduced crossed product C*-algebras of topological dynamical systems