English

Factoriality of q-Gaussian von Neumann algebras

Functional Analysis 2010-04-22 v2 Operator Algebras

Abstract

We prove that the von Neumann algebras generated by nn qq-Gaussian elements, are factors for n2n\ge 2.

Keywords

Cite

@article{arxiv.math/0311413,
  title  = {Factoriality of q-Gaussian von Neumann algebras},
  author = {Eric Ricard},
  journal= {arXiv preprint arXiv:math/0311413},
  year   = {2010}
}