Spectral and homological properties of Hilbert modules over the disc algebra
Raphaël Clouâtre
Studia Mathematica, Tome 223 (2014), p. 263-282 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2014-01-01
EUDML-ID : urn:eudml:doc:285761 
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     journal = {Studia Mathematica},
     volume = {223},
     year = {2014},
     pages = {263-282},
     zbl = {1310.46044},
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Raphaël Clouâtre. Spectral and homological properties of Hilbert modules over the disc algebra. Studia Mathematica, Tome 223 (2014) pp. 263-282. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm222-3-4/