English

Relative discrete spectrum of W*-dynamical systems

Operator Algebras 2021-08-31 v1

Abstract

A definition of relative discrete spectrum of noncommutative W*-dynamical systems is given in terms of the basic construction of von Neumann algebras, motivated from three perspectives: Firstly, as a complementary concept to relative weak mixing of W*-dynamical systems. Secondly, by comparison with the classical (i.e. commutative) case. And, thirdly, by noncommutative examples.

Keywords

Cite

@article{arxiv.2008.04799,
  title  = {Relative discrete spectrum of W*-dynamical systems},
  author = {Rocco Duvenhage and Malcolm King},
  journal= {arXiv preprint arXiv:2008.04799},
  year   = {2021}
}

Comments

22 pages

R2 v1 2026-06-23T17:46:57.028Z