114 citations · 374 across the 14 of their papers we have counts for
Showing 2008Show all
3 papers · 1 filter
math.OA2008★ 1 cited
Resolvents of R-Diagonal Operators
Uffe Haagerup, Todd Kemp, Roland Speicher
We consider the resolvent of any -diagonal operator in a -factor. Our main theorem gives a universal asymptotic formula for the norm of such a re…
math.QA2008★ 12 cited
Liberation of orthogonal Lie groups
Teodor Banica, Roland Speicher
We show that under suitable assumptions, we have a one-to-one correspondence between classical groups and free quantum groups, in the compact orthogonal case. We classify the group…
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…