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arXiv · 1507.04449

Twisted Topological Graph Algebras Are Twisted Groupoid C*-algebras

Alex Kumjian·Hui Li
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Abstract

The second author showed how Katsura's construction of the C*-algebra of a topological graph E may be twisted by a Hermitian line bundle L over the edge space E. The correspondence defining the algebra is obtained as the completion of the compactly supported continuous sections of L. We prove that the resulting C*-algebra is isomorphic to a twisted groupoid C*-algebra where the underlying groupoid is the Renault-Deaconu groupoid of the topological graph with Yeend's boundary path space as its unit space.

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Alex Kumjian, Hui Li. 2015-07-16. Twisted Topological Graph Algebras Are Twisted Groupoid C*-algebras. https://arxiv.org/abs/1507.04449

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