Geodesic
On the Entropy of an Automorphism of a Compact Commutative Group
Teoriâ veroâtnostej i ee primeneniâ, Tome 6 (1961) no. 3, pp. 351-352 
V. A. Rokhlin. On the Entropy of an Automorphism of a Compact Commutative Group. Teoriâ veroâtnostej i ee primeneniâ, Tome 6 (1961) no. 3, pp. 351-352. http://geodesic.mathdoc.fr/item/TVP_1961_6_3_a10/
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     author = {V. A. Rokhlin},
     title = {On the {Entropy} of an {Automorphism} of a {Compact} {Commutative} {Group}},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
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     year = {1961},
     volume = {6},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1961_6_3_a10/}
}
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The paper contains the proof of the following theorem: every ergodic automorphism of a non trivial compact Abelian group has a positive entropy.