ScalingStacks

Theorem 4.5. The functors $\operatorname{HH}\nolimits_{*}^{S}$ define a Markov $2$-trace on finite Coxeter groups with value in ${\mathcal{C}}_{S}=D^{b}(P_{S}\operatorname{\!-modgr}\nolimits)^{\mathbf{Z}}$ and with $T_{S,s,+}=[-1]\{1\}$ and $T_{S,s,-}=\operatorname{Id}\nolimits$.