2 papers
math.DS2025
-dimension groups
Thierry Giordano, Ian F. Putnam, Christian F. Skau
We study a class of simple dimension groups in which the cyclic subgroup generated by the order unit is replaced by a copy of satisfying some strict conditions. Ou…
math.OA2025
Variations on quantum de Finetti theorems and operator valued Martin boundaries: a Choquet-Deny approach
Benoît Collins, Thierry Giordano, Ryosuke Sato
We revisit the quantum de Finetti theorem. We state and prove a couple of variants thereof. In parallel, we introduce an operator version of the Martin boundary on quantum groups a…