English

On certain free product factors via an extended matrix model

funct-an 2016-08-31 v1 Operator Algebras

Abstract

Voiculescu's random matrix model for freeness is extended to the non-Gaussian case and also the case of constant block diagonal matrices. Thus we are able to investigate free products of free group factors with matrix algebras and with the hyperfinite II1_1 factor, showing that L(Fn)R=L(F(n+1)) L(F_n) * R = L(F_(n+1)) for n1n \ge 1, (where L(F1)=L(Z)L(F_1)=L(Z)).

Keywords

Cite

@article{arxiv.funct-an/9211011,
  title  = {On certain free product factors via an extended matrix model},
  author = {Ken Dykema},
  journal= {arXiv preprint arXiv:funct-an/9211011},
  year   = {2016}
}

Comments

19+3 pages, AMSTeX 2.1 (figures in LaTeX 2.09), KD-at-UCB-001