On the structure of $C^*$-algebra generated by a family of partial isometries and multipliers

Authors

  • A. Yu. Kuznetsova Institute of Physics Kazan Federal University 18, Kremlevskaya str. 20008 Kazan, Russia
  • Ye. V. Patrin Institute of Physics Kazan Federal University 18, Kremlevskaya str. 20008 Kazan, Russia

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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Articles

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