The von Neumann algebras generated by t-gaussians

被引：6
|
作者：
Ricard, É [1 ]
机构：
[1] Univ Franche Comte, Math Lab, F-25030 Besancon, France
来源：
ANNALES DE L INSTITUT FOURIER | 2006年 / 56卷 / 02期
关键词：
conditionnal free product; interacting Fock space;
D O I：
10.5802/aif.2190
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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 is 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.
引用
收藏
页码：475 / 498
页数：24
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