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The Taylor-Browder spectrum on prime C*-algebras.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Published
<mark>Journal publication date</mark>03/2012
<mark>Journal</mark>Integral Equations and Operator Theory
Issue number3
Volume72
Number of pages16
Pages (from-to)403-418
Publication StatusPublished
<mark>Original language</mark>English

Abstract

We provide a formula for the Taylor–Browder spectrum of a pair (L a , R b ) of left and right multiplication operators acting on a prime C*-algebra with non-zero socle. We also compute ascent and descent for multiplication operators on a prime ring, characterise Browder elements in a prime C*-algebra and discuss upper semicontinuity for the Browder spectrum.