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

被引：0

作者：

de Castro, Gilles G. ^{[1
]}

Kang, Eun Ji ^{[2
]}

机构：

[1] Univ Fed Santa Catarina, Dept Matemat, BR-88040970 Florianopolis, SC, Brazil

[2] Seoul Natl Univ, Res Inst Math, Seoul 08826, South Korea

来源：

JOURNAL OF ALGEBRAIC COMBINATORICS | 2023年 / 58卷 / 02期

基金：

新加坡国家研究基金会;

关键词：

Generalized Boolean dynamical systems; C*-algebras; Partial actions; Partial crossed products; Gauge-invariant ideals; Graded ideals; INVERSE-SEMIGROUPS; GRAPH ALGEBRAS;

D O I：

10.1007/s10801-022-01170-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 systems.

引用

页码：355 / 385

页数：31

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