Modulation Spaces as a Smooth Structure in Noncommutative Geometry
Operator Algebras
2019-06-06 v3 Functional Analysis
Abstract
We demonstrate that a class of modulation spaces are examples of a smooth structure on the noncommutative 2-torus in the sense of recent developments in KK-theory. In addition, we prove that this class of modulation spaces can be represented as corners in operator linking algebras.
Cite
@article{arxiv.1809.11063,
title = {Modulation Spaces as a Smooth Structure in Noncommutative Geometry},
author = {Are Austad and Franz Luef},
journal= {arXiv preprint arXiv:1809.11063},
year = {2019}
}
Comments
Largely revised version. We removed the material on operator spaces and we extended our results to locally compact abelian groups