Spectral and homological properties of Hilbert modules over the disc algebra
Studia Mathematica, Tome 222 (2014) no. 3, pp. 263-282

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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.
DOI : 10.4064/sm222-3-4
Keywords: study general hilbert modules disc algebra exhibit necessary spectral conditions vanishing certain associated extension groups particular sheds light problem identifying projective hilbert modules part work addresses classical derivation problem

Raphaël Clouâtre 1

1 Department of Pure Mathematics University of Waterloo 200 University Avenue West Waterloo, ON, Canada N2L 3G1
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Raphaël Clouâtre. Spectral and homological properties
 of Hilbert modules over the disc algebra. Studia Mathematica, Tome 222 (2014) no. 3, pp. 263-282. doi: 10.4064/sm222-3-4

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