Self-similar graph \(C^\ast\)-algebras and partial crossed products (Q2835237)
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scientific article; zbMATH DE number 6658781
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Self-similar graph \(C^\ast\)-algebras and partial crossed products |
scientific article; zbMATH DE number 6658781 |
Statements
1 December 2016
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\(C^\ast\)-algebra
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partial crossed product
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inverse semigroup
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self-similar group
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Self-similar graph \(C^\ast\)-algebras and partial crossed products (English)
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The paper under review studies conditions under which the \(C^\ast\)-algebras constructed in [the first author and \textit{E. Pardo}, ``Graphs, groups and self-similarity'', Preprint, \url{arxiv:1307.1120}] from a self-similar action of a group on a graph can be realized as partial crossed products of commutative \(C^\ast\)-algebras by groups. The paper also provides a large number of different realizations of the Cuntz algebra \(\mathcal{O}_n\) as a partial crossed product of a commutative \(C^\ast\)-algebras by a group.
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