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math.OA2008★ 81 cited
A noncommutative de Finetti theorem: Invariance under quantum permutations is equivalent to freeness with amalgamation
Claus Köstler, Roland Speicher
We show that the classical de Finetti theorem has a canonical noncommutative counterpart if we strengthen `exchangeability' (i.e., invariance of the joint distribution of the rando…
math.OA2008★ 18 cited
Noncommutative independence from the braid group
Rolf Gohm, Claus Köstler
We introduce `braidability' as a new symmetry for (infinite) sequences of noncommutative random variables related to representations of the braid group . It provides an e…