A rigid hyperfinite type II1 factor

Ilijas Farah; Ilan Hirshberg

doi:10.1093/imrn/rnaa067

A rigid hyperfinite type II1 factor

Ilijas Farah, Ilan Hirshberg

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

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 language	English
Pages (from-to)	846-861
Number of pages	16
Journal	International Mathematics Research Notices
Volume	2022
Issue number	2
DOIs	https://doi.org/10.1093/imrn/rnaa067
State	Published - Jan 2022

ASJC Scopus subject areas

Mathematics (all)

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title = "A rigid hyperfinite type II1 factor",

abstract = "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.",

author = "Ilijas Farah and Ilan Hirshberg",

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AB - 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.

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JO - International Mathematics Research Notices

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SN - 1073-7928

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A rigid hyperfinite type II1 factor

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