Quantum Functions
Operator Algebras
2015-01-13 v3
Abstract
Weaver has recently defined the notion of a quantum relation on a von Neumann algebra. We demonstrate that the corresponding notion of a quantum function between two von Neumann algebras coincides with that of a normal unital -homomorphism in the opposite direction. This is essentially a reformulation of a previously known result from the theory of Hilbert von Neumann modules.
Cite
@article{arxiv.1101.1694,
title = {Quantum Functions},
author = {Andre Kornell},
journal= {arXiv preprint arXiv:1101.1694},
year = {2015}
}
Comments
7 pages, LaTeX; ; added references for and a brief discussion of similar results