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

Alla Kuznetsova

This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

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.

Author(s)

Table of Contents

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

Abstract

Author(s)

Table of Contents

Related Articles

ON UNIQUENESS OF HOLOMORPHIC AND BOUNDED OUTSIDE THE CLOSED LOGARITHMIC SECTOR FUNCTIONS REPRESENTABLE BY LACUNARY POWER SERIES

COMPUTER DETECTING AND PROCESSING OF THE SIGNALS OF A FLAT-COIL ABSOLUTE-POSITION SENSOR BASED SEISMIC DETECTOR

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

Abstract

Subscribe to TheGufo Newsletter​

Subscribe to TheGufo Newsletter