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arXiv · 1009.1722

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

Norio Nawata
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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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Norio Nawata. 2011-09-07. A note on trace scaling actions and fundamental groups of $C^*$-algebras. https://arxiv.org/abs/1009.1722

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