Spectral and homological properties of Hilbert modules over the disc algebra
Functional Analysis
2014-05-23 v2 Operator Algebras
Abstract
We study general Hilbert modules over the disc algebra and exhibit necessary spectral conditions for the vanishing of certain associated extension groups. In particular, this sheds some light on the problem of identifying the projective Hilbert modules. Part of our work also addresses the classical derivation problem.
Keywords
Cite
@article{arxiv.1307.5337,
title = {Spectral and homological properties of Hilbert modules over the disc algebra},
author = {Raphaël Clouâtre},
journal= {arXiv preprint arXiv:1307.5337},
year = {2014}
}
Comments
18 pages. Revised version. Accepted for publication in Studia Mathematica