On families of twisted power partial isometries
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Published:2022-06-30
Issue:1
Volume:14
Page:260-265
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ISSN:2313-0210
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Container-title:Carpathian Mathematical Publications
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language:
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Short-container-title:Carpathian Math. Publ.
Author:
Ostrovskyi V.L.,Proskurin D.P.,Yakymiv R.Ya.
Abstract
We consider families of power partial isometries satisfying twisted commutation relations with deformation parameters $\lambda_{ij}\in\mathbb C$, $|\lambda_{ij}|=1$. Irreducible representations of such a families are described up to the unitary equivalence. Namely any such representation corresponds, up to the unitary equivalence, to irreducible representation of certain higher-dimensional non-commutative torus.
Publisher
Vasyl Stefanyk Precarpathian National University
Subject
General Mathematics