Dixmier approximation and symmetric amenability for C*-algebras

Abstract

We study some general properties of tracial C*-algebras. In the first part, we consider Dixmier type approximation theorem and characterize symmetric amenability for C*-algebras. In the second part, we consider continuous bundles of tracial von Neumann algebras and classify some of them.

19 pages; minor update (v2)

References in corpus (2)

• Trace spaces of simple nuclear C*-algebras with finite-dimensional extreme boundary
• Discrete amenable group actions on von Neumann algebras and invariant nuclear C*-subalgebras

Cited by in corpus (3)

• Closed Convex Hulls of Unitary Orbits in C${}^{\ast }$-Algebras of Real Rank Zero
• Traces, Ultrapowers and the Pedersen-Petersen C*-Algebras
• Isomorphism, nonisomorphism, and amenability of L^p UHF algebras