Zero-dimensional automorphisms having a dense orbit
ジャーナル
フリー
1981 年 33 巻 4 号 p. 693-700
詳細
- Published: 1981 Received: 1979/11/29 Available on J-STAGE: 2006/10/20 Accepted: - Advance online publication: - Revised: -
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訂正情報
訂正日: 2006/10/20 訂正理由: - 訂正箇所: 引用文献情報 訂正内容: 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.
訂正日: 2006/10/20 訂正理由: - 訂正箇所: PDFファイル 訂正内容: -
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