Cuntz-Krieger type uniqueness theorem for topological higher-rank graph C*-algebras
Operator Algebras
2010-10-15 v4
Abstract
We study Sims-Yeend's product system C*-algebras and topological higher-rank graph C*-algebras by Yeend. We give a relation between Katsura's Cuntz-Pimsner covariance and Sims-Yeend's one by a direct approach and an explicit form of the core of product system C*-algebras. Finally, we prove Cuntz-Krieger type uniqueness theorem for topological higher-rank graph C*-algebras under certain aperiodic condition.
Keywords
Cite
@article{arxiv.0911.2978,
title = {Cuntz-Krieger type uniqueness theorem for topological higher-rank graph C*-algebras},
author = {Shinji Yamashita},
journal= {arXiv preprint arXiv:0911.2978},
year = {2010}
}
Comments
22 pages; V2 comment: Some typos are corrected. Some sentences are changed.; V3 comment: Title changed, Errors in V2 are fixed