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.
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}
}
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}
}