English

Norming in Discrete Crossed Products

Operator Algebras 2023-07-31 v1

Abstract

Let GAG \curvearrowright A be an action of a discrete group on a unital CC^*-algebra by *-automorphisms. In this note, we give two sufficient dynamical conditions for the CC^*-inclusion AArGA \subseteq A \rtimes_r G to be norming in the sense of Pop, Sinclair, and Smith. As a consequence of our results, when AA is separable or simple, the inclusion AArGA \subseteq A \rtimes_r G is norming provided it has a unique pseudo-expectation in the sense of Pitts.

Keywords

Cite

@article{arxiv.2307.15571,
  title  = {Norming in Discrete Crossed Products},
  author = {David R. Pitts and Roger R. Smith and Vrej Zarikian},
  journal= {arXiv preprint arXiv:2307.15571},
  year   = {2023}
}

Comments

27 pages, 2 figures

R2 v1 2026-06-28T11:42:53.951Z