Zero-dimensional automorphisms having a dense orbit

Nobuo AOKI

doi:10.2969/jmsj/03340693

Nobuo AOKI

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JOURNAL FREE ACCESS

1981 Volume 33 Issue 4 Pages 693-700

DOI https://doi.org/10.2969/jmsj/03340693

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Published: 1981 Received: November 29, 1979 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) N. Aoki, A simple proof of the Bernoullicity of ergodic automorphisms on compact abelian groups, Israel J. Math., 38 (1981), 189-198.
2) N. Bourbaki, E'lements de Mathematique Algèbre, Hermann, Paris, 1964.
3) S. A. Juzvinskii, Metric properties of endomorphisms of compact groups, Amer. Math. Soc. Transl., 66 (1968), 63-98.
4) D. Lind, Ergodic group automorphisms and specification, Lecture notes in Math., 729 (edited by M. Denker and K. Jacobs), 93-104, 1979.
5) A. G. Kurosch, The Theory of Gruops I and II, Chelsea, New York, 1960.
6) L. Pontrjagin, Topological Groups, Princeton Univ. Press, Princeton, 1946.
7) M. Rajagopalan and B. M. Screiber, Ergodic automorphisms and affine transformations, Proc. Japan Acad., 46 (1970), 633-636.
8) V. A. Rohlin, Metric properties of endomorphisms of compact commutative groups, Amer. Math. Soc. Transl., 64 (1967), 244-272.
9) H. Totoki, Ergodic Theory, Lecture notes series no. 14, Aarhus Univ., 1969.
10) R. Laxton and W. Parry, On the periodic points of certain automorphisms and a system of polynomial identities, J. Algebra, 6 (1967), 388-393.

Right : [1] N. Aoki, A simple proof of the Bernoullicity of ergodic automorphisms on compact abelian groups, Israel J. Math., 38 (1981), 189-198.
[2] N. Bourbaki, E'lements de Mathematique Algèbre, Hermann, Paris, 1964.
[3] S. A. Juzvinskii, Metric properties of endomorphisms of compact groups, Amer. Math. Soc. Transl., 66 (1968), 63-98.
[4] D. Lind, Ergodic group automorphisms and specification, Lecture notes in Math., 729 (edited by M. Denker and K. Jacobs), 93-104, 1979.
[5] A. G. Kurosch, The Theory of Gruops I and II, Chelsea, New York, 1960.
[6] L. Pontrjagin, Topological Groups, Princeton Univ. Press, Princeton, 1946.
[7] M. Rajagopalan and B. M. Screiber, Ergodic automorphisms and affine transformations, Proc. Japan Acad., 46 (1970), 633-636.
[8] V. A. Rohlin, Metric properties of endomorphisms of compact commutative groups, Amer. Math. Soc. Transl., 64 (1967), 244-272.
[9] H. Totoki, Ergodic Theory, Lecture notes series no. 14, Aarhus Univ., 1969.
[10] R. Laxton and W. Parry, On the periodic points of certain automorphisms and a system of polynomial identities, J. Algebra, 6 (1967), 388-393.

Date of correction: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -

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