Entropy for extensions of Bernoulli shifts
1996 ◽
Vol 16
(6)
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pp. 1197-1206
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Keyword(s):
AbstractWe give a condition for automorphisms α and β on finite von Neumann algebras which induces the tensor product formula for entropies: H(α ⊗ β) = H(α) + H(β). As an application, the Bernoulli shift (1/n, 1/n, …, 1/n) has extensions to ergodic outer automorphisms {αk; k = 1,2, …} on the hyperfinite II1 factor R with the entropies H(αk) = (1/2)kn log n.
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2011 ◽
Vol 22
(07)
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pp. 947-979
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1990 ◽
Vol 92
(1)
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pp. 77-91
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2008 ◽
Vol 19
(04)
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pp. 481-501
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1999 ◽
Vol 164
(1)
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pp. 110-133
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Keyword(s):
1975 ◽
Vol 78
(2)
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pp. 301-307
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