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

Shinji Yamashita

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arXiv · 0911.2978

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

Shinji Yamashita

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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.

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BibTeX RIS

Shinji Yamashita. 2009-11-16. Cuntz-Krieger type uniqueness theorem for topological higher-rank graph C*-algebras. https://arxiv.org/abs/0911.2978

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