Spectral theory and quotients in Von Neumann algebras

Abstract

In this note we consider to what extent the functional calculus and the spectral theory in von Neumann algebras are preserved by the taking of quotients relative to two-sided ideals of the von Neumann algebra.

Keywords:von Neumann algebra, functional calculus, spectral theory, quotient algebras

Quaestiones Mathematicae 23(2000), 219–225