Dales, H. G. and Laustsen, Niels J. and Read, Charles J. (2003) *A properly infinite Banach *-algebra with a non-zero, bounded trace.* Studia Mathematica, 155 (2). pp. 107-129. ISSN 0039-3223

Official URL: http://dx.doi.org/10.4064/sm155-2-2

## 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.

Item Type: | Article |
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Journal or Publication Title: | Studia Mathematica |

Subjects: | Q Science > QA Mathematics |

Departments: | Faculty of Science and Technology > Mathematics and Statistics |

ID Code: | 2377 |

Deposited By: | ep_importer |

Deposited On: | 01 Apr 2008 10:55 |

Refereed?: | Yes |

Published?: | Published |

Last Modified: | 15 Nov 2013 10:29 |

Identification Number: | |

URI: | http://eprints.lancs.ac.uk/id/eprint/2377 |

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