Energy spectrum of extremal invariant states

Richard Herman, Daniel Kastler

Research output: Contribution to journalArticlepeer-review

Abstract

For an extremal invariant state ω of a weakly asymptotically abelian dynamical system we prove that the corresponding energy spectrum is either one-sided or the whole reals, or a periodic subgroup. The latter case implies abelianness of the algebra in the representation generated by ω.

Original languageEnglish (US)
Pages (from-to)87-90
Number of pages4
JournalCommunications in Mathematical Physics
Volume56
Issue number1
DOIs
StatePublished - Feb 1 1977

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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