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On Algebras Generated by a Partial Isometry

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Abstract

In this paper we describe when a partial isometry generates an amenable \(C^*\)-algebra or an amenable Banach algebra.

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Acknowledgements

The authors are grateful to the referees for many valuable suggestions and for pointing out a simplified version of the proof of Theorem 1.1. L. Shi is supported by NSFC (11226125, 11301379). S. Zhu is supported by NSFC (11671167).

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Correspondence to Sen Zhu.

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Communicated by Eric Weber.

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Shi, L., Zhu, S. On Algebras Generated by a Partial Isometry. Complex Anal. Oper. Theory 13, 3825–3835 (2019). https://doi.org/10.1007/s11785-019-00932-z

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  • DOI: https://doi.org/10.1007/s11785-019-00932-z

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