On the structure ofC∗-algebra generated bya family of partial isometries and multipliers

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Submitted: 2024-12-18; Published: 2024-12-18

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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.