Hyperfinite type II factor
id:
hyperfinite-type-ii-factor-192-1554323
title:
Hyperfinite type II factor
text:
In mathematics, there are up to isomorphism exactly two separably acting hyperfinite type II factors; one infinite and one finite. Murray and von Neumann proved that up to isomorphism there is a unique von Neumann algebra that is a factor of type II1 and also hyperfinite; it is called the hyperfinite type II1 factor.
There are an uncountable number of other factors of type II1. Connes proved that the infinite one is also unique.
brand slug:
wiki
category slug:
encyclopedia
description:
Unique von Neumann algebra
original url:
https://en.wikipedia.org/wiki/Hyperfinite_type_II_factor
date created:
date modified:
2023-06-19T04:31:22Z
main entity:
{"identifier":"Q5958003","url":"https://www.wikidata.org/entity/Q5958003"}
image:
fields total:
13
integrity:
14