MAXIMAL EQUICONTINUOUS FACTORS AND COHOMOLOGY FOR TILING SPACES

Marcy Barge (1) , Johannes Kellendonk (2) , Scott Schmieding (3)

1 Department of Mathematical Sciences [Missoula]
2 ICJ - Institut Camille Jordan
3 department of mathematics

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.

Domaines: Systèmes dynamiques [math.DS]

Marcy Barge, Johannes Kellendonk, Scott Schmieding. MAXIMAL EQUICONTINUOUS FACTORS AND COHOMOLOGY FOR TILING SPACES. 2012. ⟨hal-00678966v1⟩