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math.OA2007★ 3 cited
Determinants on von Neumann algebras, Mahler measures and Ljapunov exponents
Christopher Deninger
For an ergodic measure preserving action on a probability space, consider the corresponding crossed product von Neumann algebra. We calculate the Fuglede-Kadison determinant for a…
math.NT2007★ 9 cited
Analogies between analysis on foliated spaces and arithmetic geometry
C. Deninger
We point out analogies between (a) the explicit formulas in analytic number theory and transversal index theory, (b) Lichtenbaum's recent conjectures on special values of Hasse-Wei…