English

II$_1$ factors with exotic central sequence algebras

Operator Algebras 2019-04-16 v1 Functional Analysis

Abstract

We provide a class of separable II1_1 factors MM whose central sequence algebra is not the "tail" algebra associated to any decreasing sequence of von Neumann subalgebras of MM. This settles a question of McDuff \cite{Mc69d}.

Keywords

Cite

@article{arxiv.1904.06816,
  title  = {II$_1$ factors with exotic central sequence algebras},
  author = {Adrian Ioana and Pieter Spaas},
  journal= {arXiv preprint arXiv:1904.06816},
  year   = {2019}
}