On the structure of $C^*$-algebra generated by a family of partial isometries and multipliers
Abstract
In the paper we consider an operator algebra generated 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 determines its $\mathbb{Z}$-grading. Under some conditions on the mapping the algebra is isomorphic to the crossed product of its fixed point subalgebra and the semigroup $\mathbb{N}$.
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Published
2015-05-27
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How to Cite
On the structure of $C^*$-algebra generated by a family of partial isometries and multipliers. (2015). Armenian Journal of Mathematics, 7(1), 50-58. http://test.armjmath.sci.am/index.php/ajm/article/view/110