C*-algebras generated by isometries.

Abstract: The property of an operator s on a Hilbert space to be isometric can be characterized by the algebraic condition s*s = 1. Many interesting and important C*-algebras can be generated by isometries or obtained by constructions involving isometries. We give a (partly historical) survey of various results in which the author has been involved and which are based on such constructions.

operator algebras

Audience: researchers in the topic

Conference on operator algebras and related topics in Istanbul, 2021