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  • Titel
    The projection calculus
  • Verfasser
    Bice, Tristan
  • Enthalten in
    Münster Journal of Mathematics, H. Münster Journal of Mathematics, S. 557-581
  • Erschienen
    2013
  • Sprache
    Englisch
  • Dokumenttyp
    Aufsatz in einer Zeitschrift
  • URN
    urn:nbn:de:hbz:6-55309456861 
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Abstract
  • We develop some tools for manipulating and constructing projections in C*-algebras. These are then applied to give short proofs of some standard projection homotopy results, as well as strengthen some fundamental classical results for C*-algebras of real rank zero, specifically on liftings, excising pure states and Kadison’s transitivity theorem. Lastly, we investigate some order properties of the set of projections in C*-algebras of real rank zero, building on the work in [5].