A rigid hyperfinite type II1 factor

Ilijas Farah, Ilan Hirshberg

Research output: Contribution to journalArticlepeer-review


We show that it is relatively consistent with Zermelo-Fraenkel set theory with the axiom of choice that there exists a hyperfinite type II1-factor of density character ℵ1 that is not isomorphic to its opposite, does not have any outer automorphisms, and has trivial fundamental group.
Original languageAmerican English
Pages (from-to)846-861
Number of pages16
JournalInternational Mathematics Research Notices
Issue number2
StatePublished - Jan 2022

All Science Journal Classification (ASJC) codes

  • General Mathematics


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