• Media type: Master Thesis; Electronic Thesis; E-Book
  • Title: Exakte Moduln über dem von Manuel Köhler beschriebenen Ring ; Exact modules over Manuel Köhler's ring
  • Contributor: Grande, Vincent [Author]
  • imprint: Georg-August-Universität Göttingen: eDiss, 2018-11-13
  • Language: German
  • DOI: https://doi.org/10.53846/goediss-7128
  • ISBN: 1040479510
  • Keywords: p-adic integers ; commutative algebra ; Mathematik (PPN61756535X) ; KK-Theorie ; Cyclotomic fields ; Zyklotomische Körper ; Kommutative Algebra ; p-adische Zahlen ; KK-Theory
  • Origination:
  • Footnote: Diese Datenquelle enthält auch Bestandsnachweise, die nicht zu einem Volltext führen.
  • Description: When proving an equivariant universal coefficient theorem for C*-Algebras acted on by a finite cyclic group Z/pZ, Manuel Köhler introduces the endomorphism ring R of the tuple (C,C(G),D). The aim of this thesis is to show a structure theorem and provide examples for a certain simple class of R-modules closely related to Cuntz-algebras by fixing the first of three components of the module to be 0, Z or Z/a. While we get a nice structure theorem for the case (a,p)=1, more complicated things happen in the case a=p. The resulting modules will turn out to have a close relation to the p-adic numbers.
  • Access State: Open Access
  • Rights information: Attribution - Non Commercial - No Derivs (CC BY-NC-ND)