Finite de Finetti theorems for free easy quantum groups
Jianquan Wang
TL;DR
This paper establishes finite de Finetti theorems for non-commutative distributions invariant under free easy quantum group actions, extending previous infinite sequence results and providing refined insights for the infinite case.
Contribution
It introduces finite de Finetti theorems for free easy quantum groups, complementing existing infinite sequence results and offering refined theorems for the infinite setting.
Findings
Finite de Finetti theorems for non-commutative distributions
Extension of free de Finetti theorems to finite sequences
Refined results for the infinite case
Abstract
We prove various finite de Finetti theorems for non-commutative distributions which are invariant under the free easy quantum group actions. This complements the free de Finetti theorems by Banica, Curran and Speicher, which mostly focus on infinite sequences. We also discuss some refined results for the infinite setting.
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Taxonomy
TopicsAdvanced Operator Algebra Research · Algebraic structures and combinatorial models · Advanced Topology and Set Theory