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arXiv · 1805.12318

Gauge freeness for Cuntz-Pimsner algebras

Alexandru Chirvasitu
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Abstract

To every $C^*$ correspondence over a $C^*$-algebra one can associate a Cuntz-Pimsner algebra generalizing crossed product constructions, graph $C^*$-algebras, and a host of other classes of operator algebras. Cuntz-Pimsner algebras come equipped with a `gauge action' by the circle group and its finite subgroups. For unital Cuntz-Pimsner algebras, we derive necessary and sufficient conditions for the gauge actions (by either the circle or its closed subgroups) to be free.

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BibTeXRIS

Alexandru Chirvasitu. 2018-05-31. Gauge freeness for Cuntz-Pimsner algebras. https://arxiv.org/abs/1805.12318

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