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Some remarks on the inverse semigroup associated to the Cuntz-Li algebras

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Abstract

In this article, we prove that the inverse semigroup associated to the Cuntz-Li relations is strongly 0-E unitary and is an F ∗-inverse semigroup. We also identify the universal group of the inverse semigroup. This gives a conceptual explanation for the result obtained in S. Sundar (arXiv:1201.4620v1, 2012).

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Authors and Affiliations

  1. Indian Statistical Institute, Delhi, India

    S. Sundar

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  1. S. Sundar
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Correspondence to S. Sundar.

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Communicated by Benjamin Steinberg.

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Sundar, S. Some remarks on the inverse semigroup associated to the Cuntz-Li algebras. Semigroup Forum 86, 383–394 (2013). https://doi.org/10.1007/s00233-012-9437-8

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  • DOI: https://doi.org/10.1007/s00233-012-9437-8

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