Groupoid and inverse semigroup presentations of ultragraph C*-algebras

被引：18

作者：

Marrero, Alberto E. ^{[1
]}

Muhly, Paul S. ^{[2
]}

机构：

[1] Univ Puerto Rico, Dept Math Phys, Cayey, PR 00736 USA

[2] Univ Iowa, Dept Math, Iowa City, IA 52242 USA

来源：

SEMIGROUP FORUM | 2008年 / 77卷 / 03期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1007/s00233-008-9046-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Inspired by the work of Paterson on C*-algebras of directed graphs, we show how to associate a groupoid (sic)(G) to an ultragraph G in such a way that the C*-algebra of (sic)(G) is canonically isomorphic to Tomforde's C*-algebra C*(G). The groupoid G G is built from an inverse semigroup (sic)(G) naturally associated to G.

引用

页码：399 / 422

页数：24

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