Maximal equicontinuous factors and cohomology for tiling spaces
Dynamical Systems
2013-09-20 v1
Abstract
We study the homomorphism induced on cohomology by the maximal equicontinuous factor map of a tiling space. We will see that this map is injective in degree one and has torsion free cokernel. We show by example, however, that the cohomology of the maximal equicontinuous factor may not be a direct summand of the tiling cohomology.
Keywords
Cite
@article{arxiv.1204.1432,
title = {Maximal equicontinuous factors and cohomology for tiling spaces},
author = {Marcy Barge and Johannes Kellendonk and Scott Schmieding},
journal= {arXiv preprint arXiv:1204.1432},
year = {2013}
}