Fuglede-Kadison determinants for operators in the von Neumann algebra of an equivalence relation
نویسندگان
چکیده
منابع مشابه
Compact Group Automorphisms, Addition Formulas and Fuglede-kadison Determinants
For a countable amenable group Γ and an element f in the integral group ring ZΓ being invertible in the group von Neumann algebra of Γ, we show that the entropy of the shift action of Γ on the Pontryagin dual of the quotient of ZΓ by its left ideal generated by f is the logarithm of the Fuglede-Kadison determinant of f . For the proof, we establish an `-version of Rufus Bowen’s definition of to...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2013
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-2013-11757-0