The modular group and super-KMS functionals
Stoytchev, O
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CLIFFORD ALGEBRA; FUNCTIONALS; GROUP THEORY; HILBERT SPACE; 661300; OTHER ASPECTS OF PHYSICAL SCIENCE
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.
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
OSTI; NTIS (US Sales Only); INIS
IAEA
1992-10-01
English
Technical Report
Other Information: PBD: Oct 1992
Medium: X; Size: [9] p.
ON: DE93613029
IC-92/307
Other: ON: DE93613029; TRN: XA9233093008148
INIS; SCA: 661300; PA: AIX-24:008148; SN: 93000932888
2008-02-12
10119496