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Bibliographic Metadata

  • Title
    Aspects of p-adic operator algebras
  • Author
    Claußnitzer, Anton ; Thom, Andreas Berthold
  • Honoured person
    Deninger, Christopher
  • Is part of
    Münster Journal of Mathematics, Issue Münster Journal of Mathematics, page 425-444
  • Published
    2020
  • Annotation
    This research was supported in part by the ERC Consolidator Grant No. 681207.
  • Language
    English
  • Document type
    Journal Article
  • URN
    urn:nbn:de:hbz:6-90169651373 
  • DOI
    10.17879/90169651061 
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  •  The document is publicly available on the WWW
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Abstract
  • In this article, we propose a p-adic analog of complex Hilbert space and consider generalizations of some well-known theorems from functional analysis and the basic study of operators on Hilbert spaces. We compute the K-theory of the analog of the algebra of compact operators and the algebra of all bounded operators. This article contains a survey on results from the thesis of the first author.
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