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Home > Research > Publications & Outputs > The Taylor-Browder spectrum on prime C*-algebras.
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The Taylor-Browder spectrum on prime C*-algebras.

Research output: Contribution to journalJournal article

Published

Journal publication date03/2012
JournalIntegral Equations and Operator Theory
Journal number3
Volume72
Number of pages16
Pages403-418
Original languageEnglish

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.