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

2022/02/04 by Gilles G. de Castro, de Castro, Gilles G., Eun Ji Kang +1 · 1 citation
Mathematics · #46L05 ( secondary) #46L55(primary) 37B99 #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.2202.02008

openalex publication_date 2022/02/04 · openalex created_date 2022/04/03 · openalex updated_date 2026/07/28

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.

Cited by

• Relative Generalized Boolean Dynamical System Algebras

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