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Noncommutative Analysis, Operator Theory and Applications pp 1–25Cite as

Birkhäuser

Pimsner Algebras and Circle Bundles

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Part of the book series: Operator Theory: Advances and Applications ((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.

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

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Author information

Authors and Affiliations

  1. SISSA, Via Bonomea 265, I-34136, Trieste, Italy

    Francesca Arici

  2. I.N.F.N. Sezione di Trieste, Trieste, Italy

    Francesca Arici & Giovanni Landi

  3. Università di Napoli “Federico II”, Napoli, Italy

    Francesco D’Andrea

  4. I.N.F.N. Sezione di Napoli, Complesso MSA, Via Cintia, I80126, Napoli, Italy

    Francesco D’Andrea

  5. Università di Trieste, Via A. Valerio 12/1, 34127, Trieste, Italy

    Giovanni Landi

Authors
  1. Francesca Arici
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  2. Francesco D’Andrea
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  3. Giovanni Landi
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Corresponding author

Correspondence to Francesca Arici .

Editor information

Editors and Affiliations

  1. Department of Mathematics, Ben-Gurion University of the Negev, Beer Sheva, Israel

    Daniel Alpay

  2. Ap 103 B1, Milano, Italy

    Fabio Cipriani

  3. Dipartimento di Matematica, Politec, Milano, Italy

    Fabrizio Colombo

  4. Dipartimento di Matematica, Università di Roma "Tor Vergata", Roma, Italy

    Daniele Guido

  5. Politecnico di Milano, Dipartimento di M, Milano, Italy

    Irene Sabadini

  6. Institut de Mathématiques, Université Pierre et Marie Curie, Paris Cedex 05, France

    Jean-Luc Sauvageot

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© 2016 Springer International Publishing Switzerland

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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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