On Morita equivalence for simple Generalized Weyl algebras

Details On Morita equivalence for simple Generalized Weyl algebras On Morita equivalence for simple Generalized Weyl algebras

2008-05-26

arxiv.org/abs/0805.3933v1

Mathematics

K-Theory and Homology

17 pages

Scientific paper

We give a necessary condition for Morita equivalence of simple Generalized Weyl algebras of classical type. We propose a reformulation of Hodges' result, which describes Morita equivalences in case the polynomial defining the Generalized Weyl algebra has degree 2, in terms of isomorphisms of quantum tori, inspired by similar considerations in noncommutative differential geometry. We study how far this link can be generalized for $n\ge 3$.

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