## Dixmier Approximation and Symmetric Amenability for $\mathrm{C}^*$-Algebras

J. Math. Sci. Univ. Tokyo
Vol. 20 (2013), No. 3, Page 349–374.

Ozawa, Narutaka
Dixmier Approximation and Symmetric Amenability for $\mathrm{C}^*$-Algebras
We study some general properties of tracial $\mathrm{C}^*$-algebras. In the first part, we consider Dixmier type approximation theorem and characterize symmetric amenability for $\mathrm{C}^*$-algebras. In the second part, we consider continuous bundles of tracial von Neumann algebras and classify some of them.