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We describe how to obtain the imprimitivity bimodules of the noncommutative torus from a "principal bundle" construction, where the total space is a quasi-associative deformation of a 3-dimensional Heisenberg manifold.
Connes A.,
1980
Earlier work this paper cites.
Rieffel M.A.,
1981
Earlier work this paper cites.
Rieffel M.A., The cancellation theorem for projective modules over irrational rotation
1983
Earlier work this paper cites.
Drinfeld V.G., Quasi-Hopf algebras,
1989
Earlier work this paper cites.
Folland G.B., Harmonic analysis in phase space,
1989
Earlier work this paper cites.
Brzeziński T., Majid S., Quantum group gauge theory on quantum spaces,
1993
Earlier work this paper cites.
Chari V., Pressley A., A guide to quantum groups, Cambridge University Press, Cambridge, 1994
1994
Earlier work this paper cites.
Connes A., Noncommutative geometry, Academic Press, Inc., San Diego, CA, 1994
1994
Cited alongside, same era.
Majid S., Foundations of quantum group theory,
1995
Cited alongside, same era.
Hajac P.M., Strong connections on quantum principal bundles,
1996
Cited alongside, same era.
Landi G., An introduction to noncommutative spaces and their geometries,
1997
Cited alongside, same era.
Mac Lane S., Categories for the working mathematician,
1998
Cited alongside, same era.
Gracia-Bondía J.M., Várilly J.C., Figueroa H., Elements of noncommutative geometry,
2001
Cited alongside, same era.
Dieng M., Schwarz A., Differential and complex geometry of two-dimensional noncommutative tori,
2002
Later among the works it cites.
Polishchuk A., Schwarz A., Categories of holomorphic vector bundles on noncommutative two-tori,
2003
Later among the works it cites.
Vlasenko M., The graded ring of quantum theta functions for noncommutative torus with real multiplication,
2006
Later among the works it cites.
Plazas J., Arithmetic structures on noncommutative tori with real multiplication,
2008
Later among the works it cites.
D’Andrea F., Fiore G., Franco D., Modules over the noncommutative torus and elliptic curves,
2014
Later among the works it cites.
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Cited in the paper.
Arici F., Kaad J., Landi G., Pimsner algebras and Gysin sequences from principal circle actions,
Cited in the paper.
Drinfeld V.G., On quasitriangular quasi-Hopf algebras and on a group that is closely connected with
Cited in the paper.
2015
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