Question

Conditional expectation of finite von neumann algebras

Answer 1

In mathematics, non-commutative conditional expectation is a generalization of the notion of conditional expectation in classical probability.For von Neumann algebras with a faithful normal tracial state, for example finite von Neumann algebras, the notion of conditional expectation is especially useful.

Answer 2

In mathematics, non-commutative conditional expectation is a generalization of the notion of conditional expectation in classical probability. ... For von Neumann algebras with a faithful normal tracial state, for example finite von Neumann algebras, the notion of conditional expectation is especially useful.