A class of C^*-algebras generalizing both graph algebras and homeomorphism C^*-algebras II, examples

2004/05/14 by Takeshi Katsura, Katsura, Takeshi
Mathematics · #37B99 #FOS: Mathematics #Operator Algebras (math.OA) #Primary 46L05 #Secondary 46L55 #math.OA #msc:37B99 #msc:46L05 #msc:46L55

paper · pdf · doi:10.48550/arxiv.math/0405268

38 pages

arxiv created 2005/09/16 · arxiv updated 2009/12/01

Abstract

We show that the method to construct C^*-algebras from topological graphs, introduced in our previous paper, generalizes many known constructions. We give many ways to make new topological graphs from old ones, and study the relation of C^*-algebras constructed from them. We also prove that our C^*-algebras have a certain characterization. This gives us another definition of our C^*-algebras.

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