Group duality and the Kubo-Martin Schwinger condition. II |
| |
Authors: | Daniel Kastler Masamichi Takesaki |
| |
Institution: | (1) Department of Mathematics, University of California, 90024 Los Angeles, CA, USA;(2) Present address: Centre de Physique Théorique, Luminy Case 907, F-13288 Marseille, Cedex 2, France |
| |
Abstract: | Let be an invariant state of theC*-system {
,G, } on a locally compact noncommutative groupG. Assume further that is extremal -invariant for an action of an amenable groupH which is -asymptotically abelian and commutes with . Denoting byF
AB,G
AB the corresponding two point functions, we give criteria for the fulfillment of the KMS condition with respect to some one parameter subgroup of the center ofG based on the existence of a closable mapT such thatTF
AB=G
AB for allA,B
. Closability is either inL
(G),B(G) orC
(G), according to clustering properties for . The basic mathematical technique is the duality theory for noncompact, noncommutative locally compact groups.This work is supported in part by the National Science Foundation, Grant MCS 79-03041 |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|