Pure states on free group C*-algebras

2007/05/08 by Akemann, Charles, Wassermann, Simon, Weaver, Nik
#FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.0705.1182

Abstract

We prove that all of the pure states of the reduced C*-algebra of the free goup on ℵ₁ generators are *-automorphism equivalent and extract some consequences of that fact.

Related

• Free group C^*-algebras associated with ℓ_p
• Homegeneity of the pure state space for separable C*-algebras
• Unique ergodicity of free shifts and some other automorphisms of C*-algebras
• Homogeneity of the pure state space of a separable C*-algebra
• Mapping class groups and outer automorphism groups of free groups are C*-simple