Ergodic Automorphisms of Compact Metric Groups are Isomorphic to Bernoulli Shifts

Nobuo Aoki

Publications mathématiques et informatique de Rennes (1975)

  • Issue: S4, page 1-10

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Aoki, Nobuo. "Ergodic Automorphisms of Compact Metric Groups are Isomorphic to Bernoulli Shifts." Publications mathématiques et informatique de Rennes (1975): 1-10. <http://eudml.org/doc/273757>.

@article{Aoki1975,
author = {Aoki, Nobuo},
journal = {Publications mathématiques et informatique de Rennes},
language = {eng},
number = {S4},
pages = {1-10},
publisher = {Département de Mathématiques et Informatique, Université de Rennes},
title = {Ergodic Automorphisms of Compact Metric Groups are Isomorphic to Bernoulli Shifts},
url = {http://eudml.org/doc/273757},
year = {1975},
}

TY - JOUR
AU - Aoki, Nobuo
TI - Ergodic Automorphisms of Compact Metric Groups are Isomorphic to Bernoulli Shifts
JO - Publications mathématiques et informatique de Rennes
PY - 1975
PB - Département de Mathématiques et Informatique, Université de Rennes
IS - S4
SP - 1
EP - 10
LA - eng
UR - http://eudml.org/doc/273757
ER -

References

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  1. 1. R.L. Adler and B. Weiss, Similarity of automorphisms of the torus, Mem. Amer. Math. Soc.98 (1970). Zbl0195.06104MR257315
  2. 2. N. Aoki and H. Totoki, Ergodic automorphisms of T are Bernoulli transformations, Pub. RIMS, Kyoto Univ. 10 (1975), 535 - 544. Zbl0319.22007MR379796
  3. 3. N.A. Friedman and D.S. Ornstein, On isomorphism of weak Bernoulli transformations,Advances in Math.5 (1971), 365 - 394. Zbl0203.05801MR274718
  4. 4. Y. Katznelson, Ergodic automorphisms of Tn are Bernoulli shifts, Israel J. Math.10 (1971), 186 - 195. Zbl0219.28014MR294602
  5. 5. D.A. Lind, Ergodic automorphisms of the infinite torus are Bernoulli, Israel J. Math.2 (1974), 162 - 168. Zbl0284.28007MR346130
  6. 6. D.S. Ornstein, Bernoulli shifts with the same entropy are isomorphic, Advances in Math, 4 (1970), 337 - 352. Zbl0197.33502MR257322
  7. 7. D.S. Ornstein , Two Bernoulli shifts with infinite entropy are isomorphic, Advances in Math5 (1971), 339 - 348. Zbl0227.28014MR274716
  8. 8. D.S. Ornstein, Factors of Bernoulli shifts are Bernoulli shifts, Advances in Math5 (1971), 349 - 364. Zbl0227.28015MR274717
  9. 9. L. Pontrjagin, Topological Groups, Princeton Univ. Press, Princeton, 1946. Zbl62.0443.02JFM65.0872.02
  10. 10. V.A. Rohlin, Metric Properties of endomorphisms of compact commutative groups, Amer. Math. Soc. Transl.64 (1967), 244-272. Zbl0183.03602
  11. 11. Ya. G. Sinai, Markov partitions and C-diffeomorphisms, Func. Anal, and its Appl.2 (1968),61-82. Zbl0182.55003
  12. 12. S.A. Yuzvinskii, Metric properties of endomorphisms of compact groups, Amer. Math. Transl.66 (1968), 63 - 98. Zbl0206.03602
  13. 13. N. Aoki, Ergodic automorphisms of compact metric groups are Bernoulli shifts, to appears. Zbl0355.28011MR463398

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