Extensions of ergodic actions and generalized discrete spectrum
Robert J. Zimmer
Source: Bull. Amer. Math. Soc. Volume 81, Number 3, Part 1
(1975), 633-636.
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Permanent link to this document: http://projecteuclid.org/euclid.bams/1183536891
Mathematical Reviews number (MathSciNet): MR0372160
Zentralblatt MATH identifier: 0308.28015
References
1. L. M. Abramov, Metric automorphisms with quasi-discrete spectrum, Izv. Akad. Nauk SSSR Ser. Mat. 26 (1962), 513-530; English transl., Amer. Math. Soc. Transl. (2) 39 (1964), 37-56. MR 26 #606.
Zentralblatt MATH: 0154.15704
Mathematical Reviews (MathSciNet): MR143040
2. H. Furstenberg, The structure of distal flows, Amer. J. Math. 85 (1963), 477-515. MR 28 #602.
Zentralblatt MATH: 0199.27202
Mathematical Reviews (MathSciNet): MR157368
Digital Object Identifier: doi:10.2307/2373137
3. F. J. Hahn, On affine transformations of compact abelian groups, Amer. J. Math. 85 (1963), 428-446. MR 27 #5889.
Zentralblatt MATH: 0161.34305
Mathematical Reviews (MathSciNet): MR155956
Digital Object Identifier: doi:10.2307/2373133
4. P. Halmos and J. von Neumann, Operator methods in classical mechanics. II, Ann. of Math. (2) 43 (1942), 332-350. MR 4, 14.
Zentralblatt MATH: 0063.01888
Mathematical Reviews (MathSciNet): MR6617
Digital Object Identifier: doi:10.2307/1968872
5. G. W. Mackey, Ergodic transformation groups with a pure point spectrum, Illinois J. Math. 8 (1964), 593-600. MR 30 #3176.
Zentralblatt MATH: 0255.22014
Mathematical Reviews (MathSciNet): MR172961
Project Euclid: euclid.ijm/1256059458
6. G. W. Mackey, Ergodic theory and virtual groups, Math. Ann. 166 (1966), 187-207. MR 34 #1444.
Zentralblatt MATH: 0178.38802
Mathematical Reviews (MathSciNet): MR201562
Digital Object Identifier: doi:10.1007/BF01361167
7. W. Parry, Zero entropy of distal and related transformations, Topological Dynamics (Sympos., Colorado State Univ., Ft. Collins, Colo., 1967), Benjamin, New York, 1968, pp. 383-389. MR 38 #2760.
Zentralblatt MATH: 0193.51602
Mathematical Reviews (MathSciNet): MR234443
8. A. Ramsay, Virtual groups and group actions, Advances in Math. 6 (1971), 253-322. MR 43 #7590.
Zentralblatt MATH: 0216.14902
Mathematical Reviews (MathSciNet): MR281876
Digital Object Identifier: doi:10.1016/0001-8708(71)90018-1
9. J. von Neumann, Zur Operatorenmethode in der klassichen Mechanik, Ann. of Math. 33 (1932), 587-642.
Zentralblatt MATH: 0005.12203
Mathematical Reviews (MathSciNet): MR1503078
Digital Object Identifier: doi:10.2307/1968537
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