English

$C^*$-independence for $\mathbb{Z}_2$-graded $C^*$-algebras

Operator Algebras 2025-05-19 v2 Probability

Abstract

We analyse a notion of CC^*-independence for Z2\mathbb{Z}_2-graded CC^*-algebras. We provide other notions of statistical independence for Z2\mathbb{Z}_2-graded von Neumann algebras and prove some relationships between them. We provide a characterization for the graded nuclearity property.

Keywords

Cite

@article{arxiv.2401.08293,
  title  = {$C^*$-independence for $\mathbb{Z}_2$-graded $C^*$-algebras},
  author = {Maria Elena Griseta and Paola Zurlo},
  journal= {arXiv preprint arXiv:2401.08293},
  year   = {2025}
}
R2 v1 2026-06-28T14:17:56.286Z