Some intrinsic properties of simple graph C^*-algebras

2002/12/18 by David Pask, Pask, David, Seung-Jai Rho +1
Mathematics · #46L55 #FOS: Mathematics #Operator Algebras (math.OA) #math.OA #msc:46L55

paper · pdf · doi:10.48550/arxiv.math/0212242

15 pages with one embedded diagram. To appear, Proc. OAMP conference, Constanta, 2001

arxiv created 2002/12/18 · arxiv updated 2009/11/30

Abstract

To a directed graph E is associated a C^*-algebra C^* (E) called a graph C^*-algebra. There is a canonical action γ of \bf T on C^* (E), called the gauge action. In this paper we present necessary and sufficient conditions for the fixed point algebra C^* (E)^γ to be simple. Our results also yield some structure theorems for simple graph algebras.

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