von Neumann algebra

(redirected from Type II factor)

von Neumann algebra

[fȯn ¦nȯi·män ′al·jə·brə]
(mathematics)
A subalgebra A of the algebra B (H) of bounded linear operators on a complex Hilbert space, such that the adjoint operator of any operator in A is also in A, and A is closed in the strong operator topology in B (H). Also known as ring of operators; W* algebra.
References in periodicals archive ?
The main result is applied to alternative proofs of KawahigashiAEs results on the injective type II factor, the classification of injective type III factors, and the approximate innerness of a modular automorphism group.