*-Doubles and embedding of associative algebras in B(H)
| dc.creator | Popovych, Stanislav | |
| dc.date | 2007-11-18 | |
| dc.date | 2009-04-08 | |
| dc.date.accessioned | 2026-07-07T13:00:57Z | |
| dc.date.available | 2026-07-07T13:00:57Z | |
| dc.description | We study the *-double functor between the categories of associative and involutive algebras. It is proved that an associative algebra is isomorphic to a subalgebra of a $C\sp*$-algebra if and only if its *-double is *-isomorphic to a *-subalgebra of a $C\sp*$-algebra. Some applications in the theory of operator algebras are presented. In particular each operator algebra is shown to be completely boundedly isomorphic to an operator algebra $B$ with the greatest $C\sp*$-subalgebra consisting of the multiples of the unit and such that each element in $B$ is determined by its module up to a scalar multiple. We also study the maximal subalgebras of an operator algebra $A$ which are mapped into $C\sp*$-algebras under completely bounded faithful representations of $A$. | |
| dc.identifier | https://arxiv.org/abs/0711.2802 | |
| dc.identifier | http://arxiv.org/abs/0711.2802 | |
| dc.identifier | Indiana University Math. J. 57 (2008) No. 7, pp. 3443-3462 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/226008 | |
| dc.subject | Operator Algebras | |
| dc.subject | Functional Analysis | |
| dc.subject | 46L07; 46K50 | |
| dc.title | *-Doubles and embedding of associative algebras in B(H) | |
| dc.type | text |