45 research outputs found
Compression Bases in Unital Groups
We study unital groups with a distinguished family of compressions called a
compression base. A motivating example is the partially ordered additive group
of a von Neumann algebra with all Naimark compressions as the compression base.Comment: 8 page
Kadison's antilattice theorem for a synaptic algebra
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