Statistical independence of operator algebras

Jan Hamhalter

Displaying similar documents to “Statistical independence of operator algebras”

Pure states on Jordan algebras

Jan Hamhalter (2001)

Mathematica Bohemica

Similarity:

We prove that a pure state on a $C^{*}$ -algebras or a JB algebra is a unique extension of some pure state on a singly generated subalgebra if and only if its left kernel has a countable approximative unit. In particular, any pure state on a separable JB algebra is uniquely determined by some singly generated subalgebra. By contrast, only normal pure states on JBW algebras are determined by singly generated subalgebras, which provides a new characterization of normal pure states. As an application...

Maximal violation of Bell's inequalities for algebras of observables in tangent spacetime regions

Stephen J. Summers, Reinhard Werner (1988)

Annales de l'I.H.P. Physique théorique

Similarity:

Tomita conjugations and transitivity of locality

Jakob Yngvason (1996)

Annales de l'I.H.P. Physique théorique

Similarity:

A note on states of von Neumann algebras

Allah-Bakhsh Thaheem (1979)

Aplikace matematiky

Similarity:

The author proves that on a von Neumann albebra (possibly of uncountable cardinality) there exists a family of states having mutually orthogonal supports (projections) converging to the identity operator.