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Article Dans Une Revue Annales de l'Institut Fourier Année : 2006

The von Neumann algebra generated by t-gaussians

Éric Ricard

Résumé

We study the $t$-deformation of gaussian von Neumann algebras. They appear as example in the theories of Interacting Fock spaces and conditionally free products. When the number of generators is fixed, it is proved that if $t$ sufficiently close to 1, then these algebras do not depend on $t$. In the same way, the notion of conditionally free von Neumann algebras often coincides with freeness.

Dates et versions

hal-00475232 , version 1 (21-04-2010)

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Citer

Éric Ricard. The von Neumann algebra generated by t-gaussians. Annales de l'Institut Fourier, 2006, 56 (2), pp.475--498. ⟨hal-00475232⟩
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