A stable splitting for spaces of commuting elements in unitary groups

Alejandro Adem, José Manuel Gómez, Simon Gritschacher

We prove an analogue of Miller's stable splitting of the unitary group $U(m)$ for spaces of commuting elements in $U(m)$. After inverting $m!$, the space $\text{Hom}(\mathbb{Z}^n,U…