Fundamental group of $AF$-algebras with finite dimensional trace space

Abstract

We consider the realization of fundamental groups of $AF$-algebras in a certain class. We find the fundametal groups of $AF$-algebras with finite dimensional trace space which is not realizable as a fundamental group of von Neumann algebras.

References in corpus (2)

• Picard groups of certain stably projectionless C*-algebras
• Fundamental group of finite von Neumann algebras with finite dimensional normal trace space