Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6415019 | Journal of Functional Analysis | 2016 | 30 Pages |
Abstract
We study the connection between Gabor frames for quasicrystals, the topology of the hull of a quasicrystal Î, and the K-theory of an associated twisted groupoid algebra. In particular, we construct a finitely generated projective module over this algebra, and any multiwindow Gabor frame for Î can be used to construct an idempotent representing this module in K-theory. For lattice subsets in dimension two, this allows us to prove a twisted version of Bellissard's gap labeling theorem.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Michael Kreisel,