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Entropy geometry and disjointness for zero-dimensional algebraic actions
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Manfred Einsiedler
Published/Copyright:
November 7, 2005
Abstract
We show that many algebraic actions of higher-rank abelian groups on zero-dimensional compact abelian groups are mutually disjoint. The proofs exploit differences in the entropy geometry arising from subdynamics and a form of Abramov-Rokhlin formula for half-space entropies.
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Published Online: 2005-11-07
Published in Print: 2005-07-26
© Walter de Gruyter
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Articles in the same Issue
- An exact mass formula for quadratic forms over number fields
- Exponential sums and congruences with factorials
- Fourier-Mukai transforms and semi-stable sheaves on nodal Weierstraß cubics
- Counting rational points on hypersurfaces
- Gradient estimates for the p (x)-Laplacean system
- Gorenstein liaison and ACM sheaves
- Geometry of chains of minimal rational curves
- Entropy geometry and disjointness for zero-dimensional algebraic actions
- Non-linearizable CR-automorphisms, torsion-free elliptic CR-manifolds and second order ODE
