Geodesic
A properly infinite Banach $*$-algebra with a non-zero, bounded trace
H. G. Dales1 ; Niels Jakob Laustsen2 ; Charles J. Read1
1 Department of Pure Mathematics University of Leeds Leeds LS2 9JT, England
2 Department of Mathematics University of Copenhagen Universitetsparken 5 DK-2100 København Ø, Denmark
Studia Mathematica, Tome 155 (2003) no. 2, pp. 107-129

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/sm155-2-2
Keywords: properly infinite * algebra has non zero traces construct properly infinite banach * algebras non zero bounded traces there even algebras which fairly close class * algebras sense hermitian * semisimple

H. G. Dales 1 ; Niels Jakob Laustsen 2 ; Charles J. Read 1

1 Department of Pure Mathematics University of Leeds Leeds LS2 9JT, England
2 Department of Mathematics University of Copenhagen Universitetsparken 5 DK-2100 København Ø, Denmark 
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H. G. Dales; Niels Jakob Laustsen; Charles J. Read. A properly infinite Banach $*$-algebra with a
 non-zero, bounded trace. Studia Mathematica, Tome 155 (2003) no. 2, pp. 107-129. doi: 10.4064/sm155-2-2

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