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

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

Studia Mathematica (2003)

- Volume: 155, Issue: 2, page 107-129
- ISSN: 0039-3223

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topH. 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 -

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