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A properly infinite Banach *-algebra with a non-zero, bounded trace

Research output: Contribution to journalJournal article

Published
<mark>Journal publication date</mark>1/04/2003
<mark>Journal</mark>Studia Mathematica
Issue number2
Volume155
Number of pages23
Pages (from-to)107-129
<mark>State</mark>Published
<mark>Original language</mark>English

Abstract

A properly infinite C-algebra has no non-zero traces. We construct properly infinite Banach -algebras with non-zero, bounded traces, and show that there are even such algebras which are fairly \close" to the class of C algebras, in the sense that they can be hermitian or -semisimple.