A non-commutative, analytic version of Hilbert's 17-th problem in type II$_1$ von Neumann algebras
| dc.creator | Radulescu, Florin | |
| dc.date | 2004-04-26 | |
| dc.date | 2005-02-12 | |
| dc.date.accessioned | 2026-07-07T05:07:43Z | |
| dc.date.available | 2026-07-07T05:07:43Z | |
| dc.description | We prove a non-commutative version of the Hilbert's 17th problem, giving a characterization of the class of non-commutative polynomials in n-undeterminates that have positive trace when evaluated in n-selfadjoint elements in arbitrary II1 von Neumann algebra. As a corollary we prove that Connes's embedding conjecture is equivalent to a statement that can be formulated entirely in the context of finite matrices. | |
| dc.description | Some minor misprints were corrected | |
| dc.identifier | https://arxiv.org/abs/math/0404458 | |
| dc.identifier | http://arxiv.org/abs/math/0404458 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70969 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L10 | |
| dc.title | A non-commutative, analytic version of Hilbert's 17-th problem in type II$_1$ von Neumann algebras | |
| dc.type | text |