Pure E 0-Semigroups and Absorbing States |
| |
Authors: | William Arveson |
| |
Affiliation: | (1) Department of Mathematics, University of California, Berkeley CA 94720, USA, US |
| |
Abstract: | An E 0-semigroup acting on is called pure if its tail von Neumann algebra is trivial in the sense that We determine all pure E 0-semigroups which have a weakly continuous invariant state ω and which are minimal in an appropriate sense. In such cases the dynamics of the state space must stabilize as follows: for every normal state ρ of there is convergence to equilibrium in the trace norm A normal state ω with this property is called an absorbing state for α. Such E 0-semigroups must be cocycle perturbations of CAR/CCR flows, and we develop systematic methods for constructing those perturbations which have absorbing states with prescribed finite eigenvalue lists. Received: 28 October 1996 / Accepted: 11 November 1996 |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|