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Pimsner Algebras and Circle Bundles

Part of the Operator Theory: Advances and Applications book series (LOLS,volume 252)

Abstract

We report on the connections between noncommutative principal circle bundles, Pimsner algebras and strongly graded algebras. We illustrate several results with examples of quantum weighted projective and lens spaces and θ-deformations.

Keywords

  • Pimsner algebras
  • quantum principal bundles
  • graded algebras
  • noncommutative geometry
  • quantum projective
  • lens spaces

Mathematics Subject Classification (2010). Primary 19K35; Secondary 55R25, 46L08

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Correspondence to Francesca Arici .

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Arici, F., D’Andrea, F., Landi, G. (2016). Pimsner Algebras and Circle Bundles. In: Alpay, D., Cipriani, F., Colombo, F., Guido, D., Sabadini, I., Sauvageot, JL. (eds) Noncommutative Analysis, Operator Theory and Applications. Operator Theory: Advances and Applications(), vol 252. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-29116-1_1

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