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

Research output: Contribution to journalJournal article


Journal publication date1/04/2003
JournalStudia Mathematica
Journal number2
Number of pages23
Original languageEnglish


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.