Group Actions on Product Systems
Operator Algebras
2022-12-23 v1
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 -graphs and to higher rank Doplicher-Roberts algebras.
Cite
@article{arxiv.2212.11441,
title = {Group Actions on Product Systems},
author = {Valentin Deaconu and Leonard Huang},
journal= {arXiv preprint arXiv:2212.11441},
year = {2022}
}