On $K_0$-Groups for Substitution Tilings
Condensed Matter
2016-08-31 v2 High Energy Physics - Theory
Abstract
The group is determined for tilings which are invariant under a locally invertible primitive \sst\ which forces its \saum. In case the tiling may be obtained by the generalized dual method from a regular grid this group furnishes part of the -group of the algebra of the tiling. Applied to Penrose tilings one obtains .
Cite
@article{arxiv.cond-mat/9503017,
title = {On $K_0$-Groups for Substitution Tilings},
author = {Johannes Kellendonk},
journal= {arXiv preprint arXiv:cond-mat/9503017},
year = {2016}
}
Comments
14 pages including 4 figures, LaTex