Groupoid models for the C*-algebras of topological higher-rank graphs

Details Groupoid models for the C*-algebras of topological higher-rank graphs Groupoid models for the C*-algebras of topological higher-rank graphs

2006-03-03

arxiv.org/abs/math/0603067v1

Mathematics

Operator Algebras

Scientific paper

We provide groupoid models for Toeplitz and Cuntz-Krieger algebras of topological higher-rank graphs. Extending the groupoid models used in the theory of graph algebras and topological dynamical systems to our setting, we prove results on essential freeness and amenability of the groupoids which capture the existing theory, and extend results involving group crossed products of graph algebras.

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