Co-universal C*-algebras associated to aperiodic k-graphs

Details Co-universal C*-algebras associated to aperiodic k-graphs Co-universal C*-algebras associated to aperiodic k-graphs

2011-08-18

arxiv.org/abs/1108.3674v1

Mathematics

Operator Algebras

14 pages

Scientific paper

We construct a representation of each finitely aligned aperiodic k-graph \Lambda\ on the Hilbert space H^{ap} with basis indexed by aperiodic boundary paths in \Lambda. We show that the canonical expectation on B(H^{ap}) restricts to an expectation of the image of this representation onto the subalgebra spanned by the final projections of the generating partial isometries. We then show that every quotient of the Toeplitz algebra of the k-graph admits an expectation compatible with this one. Using this, we prove that the image of our representation, which is canonically isomorphic to the Cuntz-Krieger algebra, is co-universal for Toeplitz-Cuntz-Krieger families consisting of nonzero partial isometries.

Affiliated with

Also associated with

No associations

Rating

Co-universal C*-algebras associated to aperiodic k-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 Co-universal C*-algebras associated to aperiodic k-graphs, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Co-universal C*-algebras associated to aperiodic k-graphs will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-180835