Remark 5.3. While we do not expect the category of Soergel bimodules to exist for complex reflection groups, we hope that its homotopy category does exist, as well as the -braid group. This would be a starting point for a structural approach to the construction of unipotent data in Broué–Malle–Michel’s theory of spets [BroMaMi].
Original source: arXiv:1203.5065v1