Kadison’s antilattice theorem for a synaptic algebra
David J. Foulis, Sylvia Pulmannová · Demonstratio Mathematica · 2018
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 if and only if A is an antilattice.We also generalize several other results of R. Kadison pertaining to infima and suprema in operator algebras.