Amenability for unitary groups of simple monotracial C*-algebras

2023/07/17 by Narutaka Ozawa, Ozawa, Narutaka · 3 citations
Mathematics · #Advanced Operator Algebra Research #Advanced Banach Space Theory

paper · pdf · doi:10.48550/arxiv.2307.08267

Abstract

We prove the following two results. First, the isometry semigroup of a unital properly infinite nuclear C*-algebra is right amenable. Second, the unitary group of a unital simple monotracial C*-algebra whose tracial GNS representation is hyperfinite is skew-amenable in the weak topology. This answers in part a conjecture of Alekseev, Schmidt, and Thom and a question of Pestov.

Cited by

• Selfless Inclusions of C*-Algebras
• Strong convergence: a short survey
• Proximality and selflessness for group C*-algebras

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