Two-valued states on Baer ∗-semigroups

Abstract

In this paper we develop an algebraic framework that allows us to extend families of two-valued states on orthomodular lattices to Baer *-semigroups. We apply this general approach to study the full class of two-valued states and the subclass of Jauch–Piron two-valued states on Baer *-semigroups.