von Neumann algebra

(redirected from W*-algebra)

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 expository cover K-theory for operator algebras and classification of C*-algebras, modular theory by example, modular theory for the Van Neumann algebras of local quantum physics, and the symbiosis of C*-algebras and W*-algebras. An appendix offers basic definitions and results for operator algebras.