On the \(K\)-theory of twisted higher-rank-graph \(C^{\ast }\)-algebras (Q1941335)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the \(K\)-theory of twisted higher-rank-graph \(C^{\ast }\)-algebras |
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On the \(K\)-theory of twisted higher-rank-graph \(C^{\ast }\)-algebras (English)
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12 March 2013
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It is shown that each 2-cocycle on a higher-rank graph taking values in an abelian group determines a continuous bundle of twisted higher-rank graph algebras over the dual group. This is used to show that for a circle-valued 2-cocycle on a higher-rank graph obtained by exponentiating a real-valued cocycle, the \(K\)-theory of the twisted higher-rank graph algebra coincides with that of the untwisted one.
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graph \(C^*\)-algebra
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higher-rank graph
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\(K\)-theory
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