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The universal algebra generated by a power partial isometry

A power partial isometry (PPI) is an element $v$ of a $C^*$-algebra with the property that every power $v^n$ is a partial isometry. The goal of this paper is to identify the universal $C^*$-algebra generated by a PPI with (a slight modification of) the algebra of the finite sections method for Toeplitz operators with continuous generating function, as first described by Albrecht Böttcher and Bernd Silbermann in 1983.

preprint2016arXivOpen access
Steffen Roch
math.OA
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Steffen Roch

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