Norming in discrete crossed products
Let G↷A be an action of a discrete group on a unital C∗-algebra by ∗-automorphisms. In this note, we give two sufficient dynamical conditions for the C∗-inclusion A⊆A⋊rG to be norming in the sense of Pop, Sinclair, and Smith. As a consequence of our results, when A is separable or simple, the inclusion A⊆A⋊rG is norming, provided it has a unique pseudo-expectation in the sense of Pitts.
Authors
- Vrej Zarikian (ORCID: https://orcid.org/0000-0002-0611-1217)
- David R. Pitts (ORCID: https://orcid.org/0000-0002-0228-5121)
- Roger R. Smith
Institutions
- University of Nebraska–Lincoln (US)
- United States Naval Academy (US)
- Texas A&M University (US)
Publication Details
- Journal
- Illinois Journal of Mathematics
- Published
- 2024-12-01
- DOI
- https://doi.org/10.1215/00192082-11621162
- Primary Topic
- Advanced Operator Algebra Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00