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Operator Algebra and Dynamics pp 223–238Cite as

C ∗-Algebras Associated with a-adic Numbers

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

Abstract

By a crossed product construction, we produce a family of (stabilized) Cuntz-Li algebras associated with the a-adic numbers. Moreover, we present an a-adic duality theorem.

Mathematics Subject Classification (2010): 46L55, 11R04, 11R56.

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References

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Acknowledgements

This paper is a survey based on [6]. The work was mainly done while I was visiting Arizona State University in the spring of 2012, and I would like to thank John Quigg and Steve Kaliszewski for their hospitality during this stay. This research was partially supported by the Research Council of Norway (NFR) and by the NordForsk Research Network Operator Algebras and Dynamics (grant #11580).

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Authors and Affiliations

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

    Tron Omland

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  1. Tron Omland
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Correspondence to Tron Omland .

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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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Omland, T. (2013). C ∗-Algebras Associated with a-adic Numbers. 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_11

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