## 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}

}