An lplp-version of von Neumann dimension for Banach space representations of sofic groups II

In this follow-up paper we compute examples of lplp-dimension. In particular, we show that the lplp-dimension for representations of an infinite sofic group on a finite-dimensional vector space are zero. Additionally, we define and compute lplp-Betti numbers of free groups, and compute dimension for actions of a hyperlinear group on noncommutative LpLp-spaces.