A note on trace scaling actions and fundamental groups of $C^*$-algebras

Details A note on trace scaling actions and fundamental groups of $C^*$-algebras A note on trace scaling actions and fundamental groups of $C^*$-algebras

2010-09-09

arxiv.org/abs/1009.1722v3

Mathematics

Operator Algebras

6 pages, Some typos are corrected

Scientific paper

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.

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