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arXiv · 1404.7756

Twisted Topological Graph Algebras

Hui Li
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Abstract

We define the notion of a twisted topological graph algebra associated to a topological graph and a $1$-cocycle on its edge set. We prove a stronger version of a Vasselli's result. We expand Katsura's results to study twisted topological graph algebras. We prove a version of the Cuntz-Krieger uniqueness theorem, describe the gauge-invariant ideal structure. We find that a twisted topological graph algebra is simple if and only if the corresponding untwisted one is simple.

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Hui Li. 2014-04-30. Twisted Topological Graph Algebras. https://doi.org/10.1017/s0004972715000131

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