Topological conjugacy of affine transformations of compact abelian groups
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- by Peter Walters
- Trans. Amer. Math. Soc. 140 (1969), 95-107
- DOI: https://doi.org/10.1090/S0002-9947-1969-0240282-X
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References
- L. M. Abramov, Metric automorphisms with quasi-discrete spectrum, Izv. Akad. Nauk SSSR Ser. Mat. 26 (1962), 513–530 (Russian). MR 0143040
- D. Z. Arov, Topological similitude of automorphisms and translations of compact commutative groups, Uspehi Mat. Nauk 18 (1963), no. 5 (113), 133–138 (Russian). MR 0155925
- F. J. Hahn, On affine transformations of compact abelian groups, Amer. J. Math. 85 (1963), 428–446. MR 155956, DOI 10.2307/2373133
- Frank Hahn and William Parry, Minimal dynamical systems with quasi-discrete spectrum, J. London Math. Soc. 40 (1965), 309–323. MR 175107, DOI 10.1112/jlms/s1-40.1.309
- Paul R. Halmos, Lectures on ergodic theory, Publications of the Mathematical Society of Japan, vol. 3, Mathematical Society of Japan, Tokyo, 1956. MR 0097489
- A. H. M. Hoare and W. Parry, Semi-groups of affine transformations, Quart. J. Math. Oxford Ser. (2) 17 (1966), 106–111. MR 204614, DOI 10.1093/qmath/17.1.106
- H. Hoare and W. Parry, Affine transformations with quasi-discrete spectrum. I, J. London Math. Soc. 41 (1966), 88–96. MR 186750, DOI 10.1112/jlms/s1-41.1.88
- Kenneth Hoffman and Ray Kunze, Linear algebra, Prentice-Hall Mathematics Series, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1961. MR 0125849 E. R. VanKampen, On almost periodic functions of constant absolute value, J. London Math. Soc. 12 (1937), 3-6.
- Peter Walters, Topological conjugacy of affine transformations of tori, Trans. Amer. Math. Soc. 131 (1968), 40–50. MR 224737, DOI 10.1090/S0002-9947-1968-0224737-9
Bibliographic Information
- © Copyright 1969 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 140 (1969), 95-107
- MSC: Primary 28.70; Secondary 22.00
- DOI: https://doi.org/10.1090/S0002-9947-1969-0240282-X
- MathSciNet review: 0240282