Centralizers and an ordering for faithful, normal states

Richard H. Herman

Research output: Contribution to journalArticle

Abstract

We order faithful, normal states by ordering their respective centralizers by inclusion. Maximal elements are shown to be what Takesaki has called inner homogeneous states. Centralizers of maximal elements exhibit a maximal property with respect to semifinite ranges of normal projections.

Original languageEnglish (US)
Pages (from-to)317-323
Number of pages7
JournalJournal of Functional Analysis
Volume13
Issue number4
DOIs
StatePublished - Aug 1973

ASJC Scopus subject areas

  • Analysis

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