Coverings of Directed Graphs and Crossed Products of C*-algebras by Coactions of Homogeneous Spaces

Details Coverings of Directed Graphs and Crossed Products of C*-algebras by Coactions of Homogeneous Spaces Coverings of Directed Graphs and Crossed Products of C*-algebras by Coactions of Homogeneous Spaces

2002-01-07

arxiv.org/abs/math/0201033v1

Mathematics

Operator Algebras

15 pages with no figures

Scientific paper

The graph C*-algebra of a directed graph E is the universal C*-algebra generated by a family of partial isometries satisfying relations which reflect the path structure of E. In the first part of this paper we consider coverings of directed graphs: morphisms p:F->E which are local isomorphisms. We show that the graph algebra C*(F) can be recovered from C*(E) as a crossed product by a coaction of a homogeneous space associated to the fundamental group \pi_1 (E). These crossed products provide a good model for a general theory of crossed products by homogeneous spaces. The second part of the paper is devoted to building a framework for studying crossed products by homogeneous spaces using Rieffel's theory of proper actions.

Affiliated with

Also associated with

No associations

Rating

Coverings of Directed Graphs and Crossed Products of C*-algebras by Coactions of Homogeneous Spaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Coverings of Directed Graphs and Crossed Products of C*-algebras by Coactions of Homogeneous Spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Coverings of Directed Graphs and Crossed Products of C*-algebras by Coactions of Homogeneous Spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-616544