Hyperfinite Type II Factor
In mathematics, there are up to isomorphism exactly two 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.
Read more about Hyperfinite Type II Factor: Constructions, Properties, The Infinite Hyperfinite Type II Factor
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