C*-algebras of generalized Boolean dynamical systems as partial crossed products
Operator Algebras
2022-02-07 v1
Abstract
In this paper, we realize C*-algebras of generalized Boolean dynamical systems as partial crossed products. Reciprocally, we give some sufficient conditions for a partial crossed product to be isomorphic to a C*-algebra of a generalized Boolean dynamical system. As an application, we show that gauge-invariant ideals of C*-algebras of generalized Boolean dynamical systems are themselves C*-algebras of generalized Boolean dynamical system.
Keywords
Cite
@article{arxiv.2202.02008,
title = {C*-algebras of generalized Boolean dynamical systems as partial crossed products},
author = {Gilles G. de Castro and Eun Ji Kang},
journal= {arXiv preprint arXiv:2202.02008},
year = {2022}
}
Comments
28 pages. arXiv admin note: text overlap with arXiv:2106.09366