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

Author(s)

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

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.

DOI: https://armjmath.sci.am/index.php/ajm/article/view/110 Armenian Journal of Mathematics, 7(1) 50-58

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Keywords

C∗-algebra, partial isometry, conditional expectation, Toeplitzalgebra, crossed product,∗-endomorphism

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