Representations of Direct Product of Matrix Algebras
| dc.creator | Guido, Daniele | |
| dc.creator | Tuset, Lars | |
| dc.date | 1999-07-01 | |
| dc.date | 2000-12-27 | |
| dc.date.accessioned | 2026-07-07T05:29:45Z | |
| dc.date.available | 2026-07-07T05:29:45Z | |
| dc.description | Suppose B is the unital algebra consisting of the algebraic product of full matrix algebras over an index set X. A bijection is set up between the equivalence classes of irreducible representations of B as operators on a Banach space and the sigma-complete ultrafilters on X, Theorem 1. Therefore, if X has less than measurable cardinality (e.g. accessible), the equivalence classes of the irreducible representations of B are labeled by points of X, and all representations of B are described, Theorem 3. | |
| dc.description | 18 pages, Latex. Minor modifications, one reference added, to appear on Fund. Math | |
| dc.identifier | https://arxiv.org/abs/math/9907006 | |
| dc.identifier | http://arxiv.org/abs/math/9907006 | |
| dc.identifier | Fund. Math. 169 (2001), 145-160. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78760 | |
| dc.subject | Operator Algebras | |
| dc.subject | Logic | |
| dc.subject | 46-XX (Primary) 03E55 (Secondary) | |
| dc.title | Representations of Direct Product of Matrix Algebras | |
| dc.type | text |