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The modular group and super-KMS functionals

Technical Report:

Abstract

We show that with every normal, faithful (see below), self-adjoint functional {omega} on a von Neumann algebra A there is associated a canonical one-parameter {sigma}-weakly continuous *- automorphism group {sigma}{sup {omega}} (the analogue of the modular group) and a canonical Z{sub 2} grading {Gamma} on A, commuting with {sigma}{sup {omega}}. The functional {omega} satisfies the weak super-KMS property with respect to {sigma}{sup {omega}} and {Gamma}. Furthermore, {sigma}{sup {omega}} and {Gamma} are unique pair of a {sigma}-weakly continuous one-parameter *-automorphism group and a grading of the algebra, commuting with each other, with respect to which {omega} is weakly super-KMS. (author). 10 refs.
Authors:
Publication Date:
Oct 01, 1992
Product Type:
Technical Report
Report Number:
IC-92/307
Reference Number:
SCA: 661300; PA: AIX-24:008148; SN: 93000932888
Resource Relation:
Other Information: PBD: Oct 1992
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CLIFFORD ALGEBRA; FUNCTIONALS; GROUP THEORY; HILBERT SPACE; 661300; OTHER ASPECTS OF PHYSICAL SCIENCE
OSTI ID:
10119496
Research Organizations:
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ON: DE93613029; TRN: XA9233093008148
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
[9] p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Stoytchev, O. The modular group and super-KMS functionals. IAEA: N. p., 1992. Web.
Stoytchev, O. The modular group and super-KMS functionals. IAEA.
Stoytchev, O. 1992. "The modular group and super-KMS functionals." IAEA.
@misc{etde_10119496,
title = {The modular group and super-KMS functionals}
author = {Stoytchev, O}
abstractNote = {We show that with every normal, faithful (see below), self-adjoint functional {omega} on a von Neumann algebra A there is associated a canonical one-parameter {sigma}-weakly continuous *- automorphism group {sigma}{sup {omega}} (the analogue of the modular group) and a canonical Z{sub 2} grading {Gamma} on A, commuting with {sigma}{sup {omega}}. The functional {omega} satisfies the weak super-KMS property with respect to {sigma}{sup {omega}} and {Gamma}. Furthermore, {sigma}{sup {omega}} and {Gamma} are unique pair of a {sigma}-weakly continuous one-parameter *-automorphism group and a grading of the algebra, commuting with each other, with respect to which {omega} is weakly super-KMS. (author). 10 refs.}
place = {IAEA}
year = {1992}
month = {Oct}
}