Hyperfinite type II-1 factor - Definition and Overview

The title given to this article is incorrect due to technical limitations. The correct title is Hyperfinite type II₁ factor.

In mathematics, the hyperfinite type II₁ factor is a special von Neumann algebra. Its center consists only of multiples of the identity, so it is a factor.

There are other factors of type II₁, but up to isomorphism, the hyperfinite type II₁ factor is unique. It arises as the group von Neumann algebra of countable amenable groups with the infinite conjugacy class property.