A note on trace scaling actions and fundamental groups of $C^{\ast }$-algebras

Abstract

Using Effros-Handelman-Shen theorem and Elliott's classification theorem of AF algebras, we show that there exists a unital simple AF algebra A with unique trace such that $A\otimes \mathbb{K}$ admits no trace scaling action of the fundamental group of A.

arXiv comment6 pages, Some typos are corrected

Cited by in corpus (1)

• Picard groups of certain stably projectionless C*-algebras