Ideal structure of C*-algebras of commuting local homeomorphisms

被引：0

作者：

Brix, Kevin Aguyar ^{[1
]}

Carlsen, Toke Meier

Sims, Aidan ^{[2
]}

机构：

[1] Univ Southern Denmark, Dept Math & Comp Sci, DK-5230 Odense, Denmark

[2] Univ Wollongong, Sch Math & Appl Stat, Wollongong, NSW 2522, Australia

来源：

MATHEMATISCHE ANNALEN | 2025年

基金：

澳大利亚研究理事会;

关键词：

HIGHER-RANK GRAPHS; STAR-ALGEBRAS; SIMPLICITY; SPACE;

D O I：

10.1007/s00208-024-03076-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We determine the primitive-ideal spaces, and hence the ideal lattices, of a large class of C *-algebras arising from commuting local homeomorphisms. This class contains the C *-algebra of any row-finite 2-graph without sources. A key ingredient is the notion of harmonious families of bisections in etale groupoids arising from finite families of commuting local homeomorphisms.

引用

页数：63

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