Kadison’s antilattice theorem for a synaptic algebra

Kadison’s antilattice theorem for a synaptic algebra AbstractWe 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Demonstratio Mathematica de Gruyter

Kadison’s antilattice theorem for a synaptic algebra

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Publisher
De Gruyter Open
Copyright
© by Sylvia Pulmannová
ISSN
0420-1213
eISSN
2391-4661
D.O.I.
10.1515/dema-2018-0002
Publisher site
See Article on Publisher Site

Abstract

AbstractWe 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.

Journal

Demonstratio Mathematicade Gruyter

Published: Mar 1, 2018

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