General position of a projection and its image under a free unitary Brownian motion

Nizar Demni, Taoufik Hmidi

Given an orthogonal projection $P$ and a free unitary Brownian motion $Y=(Y_t{)}_{t\ge 0}$ in a $W^{\star }$-non commutative probability space such that $Y$ and $P$ are $\star$-fr…