Spectral theory and quotients in von Neumann algebras

Original Articles

Spectral theory and quotients in von Neumann algebras

Published in: Quaestiones Mathematicae
Volume 23 , issue 2 , 2000 , pages: 219–225
DOI: 10.2989/16073600009485970
Author(s): Graeme West
Keywords: VON NEUMANN ALGEBRA , FUNCTIONAL CALCULUS , SPECTRAL THEORY , QUOTIENT ALGEBRAS
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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.
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