Hyperfinite type II-1 factor

The title of this article is incorrect because of 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.

See also: Hyperfinite type II-1 factor, Amenable, Center, Countable, Factor (functional analysis), Infinite conjugacy class property, Isomorphism, Mathematics, Von Neumann algebra