Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4590923 | Journal of Functional Analysis | 2011 | 22 Pages |
Abstract
We describe a method to compute the K-theory of the C⁎-algebra arising from the stable equivalence relation in the Smale space associated to a substitution tiling, and give detailed computations for one- and two-dimensional examples. We prove that for one-dimensional tilings the group K0 is always torsion free and give an example of a two-dimensional tiling such that K0 has torsion.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory