“Vector bundles” over quantum Heisenberg manifolds

Beatriz Abadie ()
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Beatriz Abadie: Centro de Matemática Facultad de Ciencias

A chapter in Algebraic Methods in Operator Theory, 1994, pp 307-315 from Springer

Abstract: Abstract We construct, out of Rieffel projections, projections in certain algebras which are strong-Morita equivalent to the quantum Heisenberg manifolds D c µv . Then, by means of techniques from the Morita equivalence theory, we get finitely generated and projective modules over the algebras D c µv . This enables us to show that the group Z + 2µZ + 2vZ is contained in the range of the trace on K 0(D c µv ).

Keywords: Vector Bundle; Poisson Bracket; Heisenberg Group; Projective Module; Deformation Quantization (search for similar items in EconPapers)
Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-0255-4_30

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DOI: 10.1007/978-1-4612-0255-4_30

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