Cuntz-Krieger type uniqueness theorem for topological higher-rank graph C*-algebras

Details Cuntz-Krieger type uniqueness theorem for topological higher-rank graph C*-algebras Cuntz-Krieger type uniqueness theorem for topological higher-rank graph C*-algebras

2009-11-16

arxiv.org/abs/0911.2978v4

Mathematics

Operator Algebras

22 pages; V2 comment: Some typos are corrected. Some sentences are changed.; V3 comment: Title changed, Errors in V2 are fixed

Scientific paper

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.

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