Relative C*-simplicity and characterizations for normal subgroups

Abstract

The notion of a plump subgroup was recently introduced by Amrutam. This is a relativized version of Powers' averaging property, and it is known that Powers' averaging property is equivalent to C*-simplicity. With this in mind, we introduce a relativized notion of C*-simplicity, and show that for normal subgroups it is equivalent to plumpness, along with several other characterizations.

arXiv comment15 pages; To appear in the Journal of Operator Theory. This is the accepted manuscript, which includes minor corrections made during the refereeing process. Author funding information was also corrected

References in corpus (3)

• Boundaries of reduced C*-algebras of discrete groups
• An intrinsic characterization of C*-simplicity
• Furstenberg boundaries for pairs of groups

Cited by in corpus (2)

• C*-irreducibility for reduced twisted group C*-algebras
• Splitting of Tensor Products and Intermediate Factor Theorem: Continuous Version