BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Positive entropy actions of countable groups factor onto Bernoulli shifts Seward, Brandon

Description

I will show that if a free ergodic action of a countable group has positive Rokhlin entropy (or, less generally, positive sofic entropy) then it factors onto all Bernoulli shifts of lesser or equal entropy. This extends to all countable groups the well-known factor theorem of Sinai.

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Attribution-NonCommercial-NoDerivatives 4.0 International