Labelled space C*-algebras as partial crossed products and a simplicity characterization

被引：11

作者：

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

van Wyk, Daniel W. ^{[1
,2
]}

机构：

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

[2] Dartmouth Coll, Dept Math, Hanover, NH 03755 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2020年 / 491卷 / 01期

关键词：

C*-algebra; Labelled space; Partial actions; Partial crossed products; Groupoid; PARTIAL DYNAMICAL-SYSTEMS; CUNTZ-KRIEGER ALGEBRAS; INVERSE-SEMIGROUPS; GROUPOIDS; GRAPHS;

D O I：

10.1016/j.jmaa.2020.124290

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A partial action is associated with a normal weakly left resolving labelled space such that the crossed product and labelled space C*-algebras are isomorphic. An improved characterization of simplicity for labelled space C*-algebras is given and applied to C*-algebras of subshifts. (C) 2020 Elsevier Inc. All rights reserved.

引用

页数：35

共 42 条

[31] Partial actions and KMS states on relative graph C*-algebras
Carlsen, Toke M.
Larsen, Nadia S.
JOURNAL OF FUNCTIONAL ANALYSIS, 2016, 271 (08) : 2090 - 2132
[32] C*-algebras of labelled graphs III-K-theory computations
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ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2017, 37 : 337 - 368
[33] The structure of gauge-invariant ideals of labelled graph C*-algebras
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[34] CONSTRUCTION OF GLOBALIZATIONS FOR PARTIAL ACTIONS ON RINGS, ALGEBRAS, C*-ALGEBRAS AND HILBERT BIMODULES
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[36] An inverse semigroup approach to self-similar k-graph C∗-algebras and simplicity
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[37] C∗\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$C^*$$\end{document}-algebras of generalized Boolean dynamical systems as partial crossed products
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Journal of Algebraic Combinatorics, 2023, 58 (2) : 355 - 385
[38] C*-algebras from partial isometric representations of LCM semigroups
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MUENSTER JOURNAL OF MATHEMATICS, 2022, 15 (01): : 241 - 278
[39] Simplicity of C*-algebras associated to row-finite locally convex higher-rank graphs
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ISRAEL JOURNAL OF MATHEMATICS, 2009, 172 (01) : 171 - 192
[40] Homology and Twisted C∗-Algebras for Self-similar Actions and Zappa-Szep Products
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Sims, Aidan
RESULTS IN MATHEMATICS, 2025, 80 (01)

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