Armenian Journal of Mathematics, 7(1)
2015; 50–58
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On the structure ofC∗-algebra generated bya family of partial isometries and multipliers

Alla Kuznetsova*, Evgenii Patrin

Received: 2024-12-19 · Published: 2015-05-27

© 2015 The Author(s) and the original publisher.

CC BY 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.
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Original title
On the structure ofC∗-algebra generated bya family of partial isometries and multipliers
Authors
Alla Kuznetsova, Evgenii Patrin
Source journal
Armenian Journal of Mathematics, 7(1)
Published
2015-05-27
Licence
Creative Commons Attribution 4.0 International
Original
https://armjmath.sci.am/index.php/ajm/article/view/110

Abstract

In the paper we consider an operator algebra gen-erated by a family of partial isometries associated with a self-mapping on a countable set and by multipliers.An action of the unit circle on this algebra is specified that de-termines itsZ-grading. Under some conditions on the mappingthe algebra is isomorphic to the crossed product of its fixed pointsubalgebra and the semigroupN.
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