Type-Decomposition of a Synaptic Algebra
Operator Algebras
2015-06-15 v1
Abstract
A synaptic algebra is a generalization of the self-adjoint part of a von Neumann algebra. In this article we extend to synaptic algebras the type-I/II/III decomposition of von Neumann algebras, AW*-algebras, and JW-algebras.
Cite
@article{arxiv.1305.2321,
title = {Type-Decomposition of a Synaptic Algebra},
author = {David J. Foulis and Sylvia Pulmannova},
journal= {arXiv preprint arXiv:1305.2321},
year = {2015}
}
Comments
27 pages