TY  - JOUR
AB  - 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.
AU  - Deninger, Christopher
DA  - 2009
LA  - eng
IS  - Münster Journal of Mathematics
M2  - 45
PY  - 2009
SP  - 45-64
T2  - Münster Journal of Mathematics
TI  - Mahler measures and Fuglede-Kadison determinants
UR  - https://nbn-resolving.org/urn:nbn:de:hbz:6-10569517585
Y2  - 2024-11-21T22:26:26
ER  -