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Operator Algebra and Dynamics pp 63–88Cite as

An Introduction to the C ∗-Algebra of a One-Sided Shift Space

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Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 58))

Abstract

This paper gives an introduction to the C ∗-algebra of a one-sided shift space. Focus will be given to the fundamental structure of the C ∗-algebra of a one-sided shift space, but some of the most important results about C ∗-algebras associated to shift spaces will also be presented.

Mathematics Subject Classification (2010): 46L05, 37B10, 46L80, 46L55.

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Acknowledgements

The author was supported by the NordForsk Research Network Operator Algebra and Dynamics (grant #11580) and the Research Council of Norway through project 191195/V30.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Norwegian University of Science and Technology (NTNU), NO-7491, Trondheim, Norway

    Toke Meier Carlsen

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  1. Toke Meier Carlsen
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Correspondence to Toke Meier Carlsen .

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Editors and Affiliations

  1. Dept. of Mathematical Sciences, Norwegian University of Science and Technology, Trondheim, Norway

    Toke M. Carlsen

  2. Department of Mathematical Sciences, University of Copenhagen, Copenhagen, Denmark

    Søren Eilers

  3. Dept. of Science and Technology, University of the Faroe Islands, Tórshavn, Faroe Islands

    Gunnar Restorff

  4. Culture and Communication (UKK) Division of Applied Mathematics The School of Education, Mälardalen University, Västerås, Sweden

    Sergei Silvestrov

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Carlsen, T.M. (2013). An Introduction to the C ∗-Algebra of a One-Sided Shift Space. In: Carlsen, T., Eilers, S., Restorff, G., Silvestrov, S. (eds) Operator Algebra and Dynamics. Springer Proceedings in Mathematics & Statistics, vol 58. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-39459-1_4

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