English

Connes' Bicentralizer Problem for Mixed $q$-deformed Araki-Woods Algebras

Operator Algebras 2024-10-15 v1

Abstract

In this article, we show that the mixed qq-deformed Araki-Woods von Neumann algebra ΓT(HR,Ut)\Gamma_T(H_\R, U_t)^{\prime\prime} has trivial bicentralizer, whenever it is of type III1\mathrm{III}_1.

Keywords

Cite

@article{arxiv.2410.09490,
  title  = {Connes' Bicentralizer Problem for Mixed $q$-deformed Araki-Woods Algebras},
  author = {Panchugopal Bikram},
  journal= {arXiv preprint arXiv:2410.09490},
  year   = {2024}
}

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16 pages