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arXiv · 2212.11441

Group Actions on Product Systems

Valentin Deaconu·Leonard Huang
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Abstract

We introduce the concept of crossed product of a product system by a locally compact group. We prove that the crossed product of a row-finite and faithful product system by an amenable group is also a row-finite and faithful product system. We illustrate with examples related to group actions on $k$-graphs and to higher rank Doplicher-Roberts algebras.

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Valentin Deaconu, Leonard Huang. 2022-12-22. Group Actions on Product Systems. https://arxiv.org/abs/2212.11441

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