A rigid hyperfinite type $\mathrm{II}_1$ factor

Ilijas Farah, Ilan Hirshberg

Research output: Working paper/PreprintPreprint

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Abstract

We show that it is relatively consistent with ZFC that there exists a hyperfinite type $\mathrm{II}_1$-factor of density character $\aleph_1$ which is not isomorphic to its opposite, does not have any outer automorphisms, and has trivial fundamental group.
Original languageEnglish GB
StatePublished - 2019

Publication series

NameArxiv preprint

Keywords

  • Mathematics - Operator Algebras
  • Mathematics - Logic

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