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Uniqueness Property for C *-algebras Given by Relations with Circular Symmetry

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Geometric Methods in Physics

Part of the book series: Trends in Mathematics ((TM))

Abstract

A general method of investigation of the uniqueness property for \( \mathcal{C}^* \)-algebra equipped with a circle gauge action is discussed. It unifies isomorphism theorems for various crossed products and Cuntz-Krieger uniqueness theorem for Cuntz-Krieger algebras.

Mathematics Subject Classification (2010). 46L05, 46L55.

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Author information

Authors and Affiliations

  1. Institute of Mathematics, University of Białystok, ul. Akademicka 2, PL-15-267, Białystok, Poland

    B. K. Kwaśniewski

Authors
  1. B. K. Kwaśniewski
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Corresponding author

Correspondence to B. K. Kwaśniewski .

Editor information

Editors and Affiliations

  1. Departamento de Física, CINVESTAV, Mexico City, Distrito Federal, Mexico

    Piotr Kielanowski

  2. Dept. of Mathematics and Statistics, Concordia University, Montreal, Québec, Canada

    S. Twareque Ali

  3. Institute of Mathematics, University of Bialystok, Bialystok, Poland

    Anatol Odzijewicz

  4. Mathematics Research Unit, FSTC, University of Luxembourg, Luxembourg-Kirchberg, Luxembourg

    Martin Schlichenmaier

  5. School of Mathematics, University of Manchester, Manchester, United Kingdom

    Theodore Voronov

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Kwaśniewski, B.K. (2013). Uniqueness Property for C *-algebras Given by Relations with Circular Symmetry. In: Kielanowski, P., Ali, S., Odzijewicz, A., Schlichenmaier, M., Voronov, T. (eds) Geometric Methods in Physics. Trends in Mathematics. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0448-6_25

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