Relative C∗-simplicity and characterizations for normal subgroups

Dan Ursu

Type: Article

Publication Date: 2022-03-15

Citations: 3

DOI: https://doi.org/10.7900/jot.2020oct26.2293

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.

Locations

Journal of Operator Theory - View
arXiv (Cornell University) - View - PDF

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+	Boundaries of reduced C*-algebras of discrete groups	2014	Mehrdad Kalantar Matthew Kennedy
+	An intrinsic characterization of C*-simplicity	2015	Matthew Kennedy
+ PDF Chat	Furstenberg boundaries for pairs of groups	2020	Nicolas Monod
+	Subgroup dynamics and C*-simplicity of groups of homeomorphisms	2018	Adrien Le Boudec Nicolás Matte Bon
+ PDF Chat	C*-simplicity and the unique trace property for discrete groups	2017	Emmanuel Breuillard Mehrdad Kalantar Matthew Kennedy Narutaka Ozawa
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