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

• Autorzy: H. G. Dales , Niels Jakob Laustsen , Charles J. Read
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46H20: Structure, classification of topological algebras
• 16N20: Jacobson radical, quasimultiplication
• 46K05: General theory of topological algebras with involution
• 43A20: L 1 -algebras on groups, semigroups, etc.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2003
• Tom: 155
• Numer: 2
• Strony: 107-129

Daty

wydano

2003

Twórcy

autor

H. G. Dales

• Department of Pure Mathematics, University of Leeds, Leeds LS2 9JT, England

autor

Niels Jakob Laustsen

• Department of Mathematics, University of Copenhagen, Universitetsparken 5, DK-2100 København Ø, Denmark

autor

Charles J. Read

• Department of Pure Mathematics, University of Leeds, Leeds LS2 9JT, England

Identyfikatory

DOI

10.4064/sm155-2-2