AF-algebras and rational homotopy theory
arXiv:2005.04423
Abstract
We give a procedure to compute the rational homotopy groups of the group of quasi-unitaries of an AF-algebra. As an application, we show that an AF-algebra is K-stable if and only if it is rationally K-stable.
Version 2: Added lemma 3.5 ; Corrected lemma 3.6