A unified approach to Exel-Laca algebras and C*-algebras associated to graphs

Details A unified approach to Exel-Laca algebras and C*-algebras associated to graphs A unified approach to Exel-Laca algebras and C*-algebras associated to graphs

2001-06-19

arxiv.org/abs/math/0106161v2

Mathematics

Operator Algebras

22 pages, uses XY-pic, New version comments: terminology change - "labeled graph" was replaced by "ultragraph", to appear in J

Scientific paper

We define an ultragraph, which is a generalization of a directed graph, and describe how to associate a C*-algebra to it. We show that the class of ultragraph algebras contains the C*-algebras of graphs as well as the Exel-Laca algebras. We also show that many of the techniques used for graph algebras can be applied to ultragraph algebras and that the ultragraph provides a useful tool for analyzing Exel-Laca algebras. Our results include versions of the Cuntz-Krieger Uniqueness Theorem and the Gauge-Invariant Uniqueness Theorem for ultragraph algebras.

Affiliated with

Also associated with

No associations

Rating

A unified approach to Exel-Laca algebras and C*-algebras associated to graphs 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 A unified approach to Exel-Laca algebras and C*-algebras associated to graphs, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A unified approach to Exel-Laca algebras and C*-algebras associated to graphs will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-645931