JournalsprimsVol. 21 , No. 5DOI 10.2977/prims/1195178795

Boolean Valued Decomposition Theory of States

  • Hirokazu Nishimura

    Kyoto University, Japan
Boolean Valued Decomposition Theory of States cover

Abstract

Boolean valued analysis (i.e., analysis based on Boolean valued set theory) enables us to introduce a natural framework for decompositions of states over C*-algebras with identity. The development apparently runs parallel with the traditional approach originating in von Neumann's reduction theory, but our logical approach succeeds in getting rid of separability restrictions that have haunted the traditional approach.