Amplified graph C*-algebras

Details Amplified graph C*-algebras Amplified graph C*-algebras

2011-10-12

arxiv.org/abs/1110.2758v1

Mathematics

Operator Algebras

15 pages, 1 figure

Scientific paper

We provide a complete invariant for graph C*-algebras which are amplified in the sense that whenever there is an edge between two vertices, there are infinitely many. The invariant used is the standard primitive ideal space adorned with a map into {-1,0,1,2,...}, and we prove that the classification result is strong in the sense that isomorphisms at the level of the invariant always lift. We extend the classification result to cover more graphs, and give a range result for the invariant (in the vein of Effros-Handelman-Shen) which is further used to prove that extensions of graph C*-algebras associated to amplified graphs are again graph C*-algebras of amplified graphs.

Affiliated with

Also associated with

No associations

Rating

Amplified graph C*-algebras 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 Amplified graph C*-algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Amplified graph C*-algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-634705