The scenery factor of the [𝑇,𝑇⁻¹] transformation is not loosely Bernoulli

Hoffman, Christopher

doi:10.1090/S0002-9939-03-07206-X

The scenery factor of the ${[T,T^{-1}]}$ transformation is not loosely Bernoulli
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by Christopher Hoffman PDF

Proc. Amer. Math. Soc. 131 (2003), 3731-3735 Request permission

Abstract:

Kalikow (1982) proved that the $[T,T^{-1}]$ transformation is not isomorphic to a Bernoulli shift. We show that the scenery factor of the $[T,T^{-1}]$ transformation is not isomorphic to a Bernoulli shift. Moreover, we show that it is not Kakutani equivalent to a Bernoulli shift.

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