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- W1628933057 abstract "In this paper, we apply the theory of inverse semigroups to the $C^{*}$-algebra $U[mathbb{Z}]$ considered in cite{Cuntz}. We show that the $C^{*}$-algebra $U[mathbb{Z}]$ is generated by an inverse semigroup of partial isometries. We explicity identify the groupoid $mathcal{G}_{tight}$ associated to the inverse semigroup and show that $mathcal{G}_{tight}$ is exactly the same groupoid obtained in cite{Cuntz-Li}." @default.
- W1628933057 created "2016-06-24" @default.
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- W1628933057 date "2011-04-06" @default.
- W1628933057 modified "2023-09-23" @default.
- W1628933057 title "Inverse semigroups and the Cuntz-Li algebras" @default.
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- W1628933057 doi "https://doi.org/10.48550/arxiv.1104.1085" @default.
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