Authors: Nitu Kitchloo and Dietrich Notbohm
Ttile: Quasi finite loop spaces are manifolds
It is an old conjecture, that finite $H$-spaces are homotopy
equivalent to manifolds. Here we prove that this conjecture is true for
loop spaces. Actually, we show that every quasi finite loop space is
equivalent to a stably parallelizable manifold. The proof is conceptual
and relies on the theory of p-compact groups. On the way we also give a
complete classification of all simple 2-compact groups of rank 2.