Spectral and homological properties
of Hilbert modules over the disc algebra
Studia Mathematica, Tome 222 (2014) no. 3, pp. 263-282
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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:
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
Affiliations des auteurs :
Raphaël Clouâtre 1
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author = {Rapha\"el Clou\^atre},
title = {Spectral and homological properties
of {Hilbert} modules over the disc algebra},
journal = {Studia Mathematica},
pages = {263--282},
publisher = {mathdoc},
volume = {222},
number = {3},
year = {2014},
doi = {10.4064/sm222-3-4},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm222-3-4/}
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TY - JOUR AU - Raphaël Clouâtre TI - Spectral and homological properties of Hilbert modules over the disc algebra JO - Studia Mathematica PY - 2014 SP - 263 EP - 282 VL - 222 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/sm222-3-4/ DO - 10.4064/sm222-3-4 LA - en ID - 10_4064_sm222_3_4 ER -
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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