Modules over operator algebras, and the maximal C^*-dilation
| dc.creator | Blecher, David P. | |
| dc.date | 1999-06-12 | |
| dc.date.accessioned | 2026-07-07T05:29:28Z | |
| dc.date.available | 2026-07-07T05:29:28Z | |
| dc.description | We continue our study of the general theory of possibly nonselfadjoint algebras of operators on a Hilbert space, and modules over such algebras, developing a little more technology to connect `nonselfadjoint operator algebra' with the C$^*-$algebraic framework. More particularly, we make use of the universal, or maximal, C$^*-$algebra generated by an operator algebra, and C$^*-$dilations. This technology is quite general, however it was developed to solve some problems arising in the theory of Morita equivalence of operator algebras, and as a result most of the applications given here (and in a companion paper) are to that subject. Other applications given here are to extension problems for module maps, and characterizations of C$^*-$algebras. | |
| dc.identifier | https://arxiv.org/abs/math/9906081 | |
| dc.identifier | http://arxiv.org/abs/math/9906081 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78651 | |
| dc.subject | Operator Algebras | |
| dc.subject | 47D25 | |
| dc.title | Modules over operator algebras, and the maximal C^*-dilation | |
| dc.type | text |