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

Published 9 Sep 2010 in math.OA | (1009.1722v3)

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.

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