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

We analyze a notion of $$C^*$$ C ∗ -independence for $${\mathbb {Z}}_2$$ Z 2 -graded $$C^*$$ C ∗ -algebras. We provide other notions of statistical independence for $${\mathbb {Z}}_2$$ Z 2 -graded von Neumann algebras and prove some relationships between them. We provide a characterization for the g...

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Published inAnnals of functional analysis Vol. 16; no. 3
Main Authors Griseta, Maria Elena, Zurlo, Paola
Format Journal Article
LanguageEnglish
Published 01.07.2025
Online AccessGet full text
ISSN2639-7390
2008-8752
DOI10.1007/s43034-025-00434-4

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Abstract We analyze a notion of $$C^*$$ C ∗ -independence for $${\mathbb {Z}}_2$$ Z 2 -graded $$C^*$$ C ∗ -algebras. We provide other notions of statistical independence for $${\mathbb {Z}}_2$$ Z 2 -graded von Neumann algebras and prove some relationships between them. We provide a characterization for the graded nuclearity property.
AbstractList We analyze a notion of $$C^*$$ C ∗ -independence for $${\mathbb {Z}}_2$$ Z 2 -graded $$C^*$$ C ∗ -algebras. We provide other notions of statistical independence for $${\mathbb {Z}}_2$$ Z 2 -graded von Neumann algebras and prove some relationships between them. We provide a characterization for the graded nuclearity property.
ArticleNumber 35
Author Zurlo, Paola
Griseta, Maria Elena
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