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Commutants in Crossed Product Algebras for Piece-Wise Constant Functions

  • Johan Richter
  • Sergei Silvestrov
  • Alex Behakanira TumwesigyeEmail author
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 179)

Abstract

In this paper we consider crossed product algebras of algebras of piece-wise constant functions on the real line with \(\mathbb {Z}\). For an increasing sequence of algebras (in which case the commutants form a decreasing sequence), we describe the set difference between the corresponding commutants.

Keywords

Piecewise constant Crossed products Commutant 

Notes

Acknowledgements

This work was partially supported by the Swedish SIDA Foundation - International Science Program. Alex Behakanira Tumwesigye thanks the Research environment MAM in Mathematics and Applied Mathematics, Division of Applied Mathematics, School of Education, Culture and Communication, Mälardalens University for providing an excellent environment for research and education.

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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • Johan Richter
    • 1
  • Sergei Silvestrov
    • 1
  • Alex Behakanira Tumwesigye
    • 2
    Email author
  1. 1.Division of Applied Mathematics, School of Education, Culture and CommunicationMälardalen UniversityVästeråsSweden
  2. 2.Department of Mathematics, College of Natural SciencesMakerere UniversityKampalaUganda

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