Quasi-homogeneous Hilbert modules (Q2470874)

Starting from some results of Arveson on multivariable operator theory, where Hilbert modules turn out to be a powerful tool, the author of this paper obtains some generalizations and answers a conjecture in the case of quasi-homogeneous Hilbert modules. The main result generalizes the connection between the curvature invariant and the index of the Dirac operator.