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arXiv · 2202.02008

C*-algebras of generalized Boolean dynamical systems as partial crossed products

Gilles G. de Castro·Eun Ji Kang
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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.

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Gilles G. de Castro, Eun Ji Kang. 2022-02-04. C*-algebras of generalized Boolean dynamical systems as partial crossed products. https://arxiv.org/abs/2202.02008

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