C*-Subalgebras generated by the finite set of partial isometries in the operator-valued case

In this paper, some of the most important results for partial isometries andC*-subalgebras of them have been studied. Main result shows that theC*-subalgebras generated by a finite set of partial isometries in a fixed operator algebra ?B(�H�) is characterized by matricial graph C*- algebras. This fact has been considered in the operator-valued case.

Keywords:

∗C*-algebras , Partial isometry , Matricial graph , graph-family