Go to page

Bibliographic Metadata

  • Title
    Mahler measures and Fuglede-Kadison determinants
  • Author
    Deninger, Christopher
  • Is part of
    Münster Journal of Mathematics, Issue Münster Journal of Mathematics, page 45-64
  • Published
    2009
  • Language
    English
  • Document type
    Journal Article
  • URN
    urn:nbn:de:hbz:6-10569517585 
Restriction-Information
  •  The document is publicly available on the WWW
Links
  • Social Media
     
     Share
  • Reference
  • IIIF
Download
Classification
Abstract
  • The Mahler measure of a function on the real d-torus is its geometric mean over the torus. It appears in number theory, ergodic theory and other fields. The Fuglede–Kadison determinant is defined in the context of von Neumann algebra theory and can be seen as a noncommutative generalization of the Mahler measure. In the paper we discuss and compare theorems in both fields, especially approximation theorems by finite dimensional determinants. We also explain how to view Fuglede–Kadison determinants as continuous functions on the space of marked groups.
Stats
  • The PDF-Document has been downloaded 6 times.