K-theory of the Chair Tiling via AF-algebras
arXiv:1505.05009 · doi:10.1016/j.geomphys.2016.04.004
Abstract
We compute the -theory groups of the groupoid C-algebra of the chair tiling, using a new method. We use exact sequences of Putnam to compute these groups from the -theory groups of the -algebras of the substitution and the induced lower dimensional substitutions on edges and vertices.
This paper will be published in Journal of Geometry and Physics. This arxiv version includes a new short appendix (not included in the published version) explaining succinctly some of the computer-assisted computations