Stable rank of graph algebras. Type I graph algebras and their limits

Details Stable rank of graph algebras. Type I graph algebras and their limits Stable rank of graph algebras. Type I graph algebras and their limits

2002-11-08

arxiv.org/abs/math/0211144v1

Mathematics

Operator Algebras

13 pages, LaTeX

Scientific paper

For an arbitrary countable directed graph E we show that the only possible values of the stable rank of the associated Cuntz-Krieger algebra C*(E) are 1, 2 or \infty. Explicit criteria for each of these three cases are given. We characterize graph algebras of type I, and graph algebras which are inductive limits of C*-algebras of type I. We also show that a gauge-invariant ideal of a graph algebra is itself isomorphic to a graph algebra.

Affiliated with

Also associated with

No associations

Rating

Stable rank of graph algebras. Type I graph algebras and their limits 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 Stable rank of graph algebras. Type I graph algebras and their limits, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stable rank of graph algebras. Type I graph algebras and their limits will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-470078