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Sofic entropy and amenable groups

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Book ID
115313351
Publisher
Cambridge University Press
Year
2011
Tongue
English
Weight
695 KB
Volume
32
Category
Article
ISSN
0143-3857

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πŸ“œ SIMILAR VOLUMES


Sofic groups and diophantine approximati
✍ Andreas Thom πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 157 KB

## Abstract We prove the algebraic eigenvalue conjecture of J. Dodziuk, P. Linnell, V. Mathai, T. Schick, and S. Yates (see [2]) for sofic groups. Moreover, we give restrictions on the spectral measure of elements in the integral group ring. Finally, we define integer operators and prove a quantiza

The Spectrum of Completely Positive Entr
✍ A.H. Dooley; V.Ya. Golodets πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 189 KB

We prove that an ergodic free action of a countable discrete amenable group with completely positive entropy has a countable Lebesgue spectrum. Our approach is based on the Rudolph-Weiss result on the equality of conditional entropies for actions of countable amenable groups with the same orbits. Re