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Properties and examples of FCR-algebras

Kraft, Hanspeter and Small, Lance W. and Wallach, Nolan R.. (2001) Properties and examples of FCR-algebras. Manuscripta mathematica, Vol. 104, H. 4. pp. 443-450.

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Official URL: http://edoc.unibas.ch/dok/A5842778

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Abstract

An algebra A over a field k is FCR if every finite dimensional representation of A is completely reducible and the intersection of the kernels of these representations is zero. We give a useful characterization of FCR-algebras and apply this to C*-algebras and to localizations. Moreover, we show that 'small' products and sums of FCR-algebras are again FCR.
Faculties and Departments:05 Faculty of Science > Departement Mathematik und Informatik > Ehemalige Einheiten Mathematik & Informatik > Algebra (Kraft)
UniBasel Contributors:Kraft, Hanspeter
Item Type:Article, refereed
Article Subtype:Research Article
Bibsysno:Link to catalogue
Publisher:Springer
ISSN:0025-2611
Note:Publication type according to Uni Basel Research Database: Journal article
Language:English
Identification Number:
Last Modified:31 Dec 2015 10:49
Deposited On:08 Jun 2012 06:48

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