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

H. G. Dales, Niels Jakob Laustsen, and Charles J. Read. "A properly infinite Banach *-algebra with a non-zero, bounded trace." Studia Mathematica 155.2 (2003): 107-129. <http://eudml.org/doc/284571>.

@article{H2003,
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.},
author = {H. G. Dales, Niels Jakob Laustsen, Charles J. Read},
journal = {Studia Mathematica},
keywords = {properly infinite Banach algebra; semigroup Banach algebra; properly infinite Banach *-algebra; trace; Cuntz semigroup},
language = {eng},
number = {2},
pages = {107-129},
title = {A properly infinite Banach *-algebra with a non-zero, bounded trace},
url = {http://eudml.org/doc/284571},
volume = {155},
year = {2003},
}

TY - JOUR
AU - H. G. Dales
AU - Niels Jakob Laustsen
AU - Charles J. Read
TI - A properly infinite Banach *-algebra with a non-zero, bounded trace
JO - Studia Mathematica
PY - 2003
VL - 155
IS - 2
SP - 107
EP - 129
AB - 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.
LA - eng
KW - properly infinite Banach algebra; semigroup Banach algebra; properly infinite Banach *-algebra; trace; Cuntz semigroup
UR - http://eudml.org/doc/284571
ER -