Kadison's antilattice theorem for a synaptic algebra
Rings and Algebras
2017-06-07 v1
Abstract
We prove that if A is a synaptic algebra and the orthomodular lattice P of projections in A is complete, then A is a factor iff A is an antilattice. We also generalize several other results of R. Kadison pertaining to infima and suprema in operator algebras.
Cite
@article{arxiv.1706.01719,
title = {Kadison's antilattice theorem for a synaptic algebra},
author = {David J. Foulis and Sylvia Pulmannova},
journal= {arXiv preprint arXiv:1706.01719},
year = {2017}
}