AF-algebras and rational homotopy theory
Operator Algebras
2020-11-03 v3 Functional Analysis
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.
Cite
@article{arxiv.2005.04423,
title = {AF-algebras and rational homotopy theory},
author = {Apurva Seth and Prahlad Vaidyanathan},
journal= {arXiv preprint arXiv:2005.04423},
year = {2020}
}
Comments
Version 2: Added lemma 3.5 ; Corrected lemma 3.6