Spectral and homological properties of Hilbert modules over the disc algebra
Volume 222 / 2014
Studia Mathematica 222 (2014), 263-282
MSC: Primary 46H25; Secondary 47A10.
DOI: 10.4064/sm222-3-4
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.
