Energy spectrum of extremal invariant states

Richard H. Herman; Daniel Kastler

doi:10.1007/BF01611119

Energy spectrum of extremal invariant states

Richard H. Herman, Daniel Kastler

Research output: Contribution to journal › Article › peer-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 language	English (US)
Pages (from-to)	87-90
Number of pages	4
Journal	Communications in Mathematical Physics
Volume	56
Issue number	1
DOIs	https://doi.org/10.1007/BF01611119
State	Published - Feb 1977
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF01611119

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Energy spectrum of extremal invariant states

Abstract

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