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.
Radulescu, F. (2008). A non-commutative, analytic version of Hilbert's 17th problem in type II1 von Neumann algebras. In F.R. Ken Dykema (a cura di), Von Neumann algebras in Sibiu (pp. 93-101). Bucharest : Theta.
A non-commutative, analytic version of Hilbert's 17th problem in type II1 von Neumann algebras
RADULESCU, FLORIN
2008-01-01
Abstract
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.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
baumslag.pdf
accesso aperto
Licenza:
Copyright dell'editore
Dimensione
133.86 kB
Formato
Adobe PDF
|
133.86 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
