Relatively independent joinings and subsystems of W*-dynamical systems

Loading...
Thumbnail Image

Date

Authors

Duvenhage, Rocco de Villiers

Journal Title

Journal ISSN

Volume Title

Publisher

Polskiej Akademii Nauk, Instytut Matematyczny

Abstract

Relatively independent joinings ofW*-dynamical systems are constructed. This is intimately related to subsystems of W*-dynamical systems, and therefore we also study general properties of subsystems, in particular fixed point subsystems and compact subsystems. This allows us to obtain characterizations of weak mixing and relative ergodicity, as well as of certain compact subsystems, in terms of joinings.

Description

Keywords

W*-dynamical systems, Relatively independent joinings, Subsystems

Sustainable Development Goals

Citation

Duvenhage, R 2012, 'Relatively independent joinings and subsystems of W*-dynamical systems', Studia Mathematica, vol. 209, no. 1, pp. 21-41.