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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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 |
| Publisher: | Springer |
| ISSN: | 0025-2611 |
| Note: | Publication type according to Uni Basel Research Database: Journal article |
| Language: | English |
| Identification Number: | |
| edoc DOI: | |
| Last Modified: | 31 Dec 2015 10:49 |
| Deposited On: | 08 Jun 2012 06:48 |
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