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Extensions of ergodic actions and generalized discrete spectrum
Author(s):
Robert J.
Zimmer
Journal:
Bull. Amer. Math. Soc.
81
(1975),
Part 1:633-636.
MSC (1970):
Primary 22D40, 28A65, 54H20;
Secondary 22D10, 22D30, 47A35
MathSciNet review:
0372160
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Additional information
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. MR 143040
- 2.
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- 3.
- F. J. Hahn, On affine transformations of compact abelian groups, Amer. J. Math. 85 (1963), 428-446. MR 27 #5889. MR 155956
- 4.
- P. Halmos and J. von Neumann, Operator methods in classical mechanics. II, Ann. of Math. (2) 43 (1942), 332-350. MR 4, 14. MR 6617
- 5.
- G. W. Mackey, Ergodic transformation groups with a pure point spectrum, Illinois J. Math. 8 (1964), 593-600. MR 30 #3176. MR 172961
- 6.
- G. W. Mackey, Ergodic theory and virtual groups, Math. Ann. 166 (1966), 187-207. MR 34 #1444. MR 201562
- 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. MR 234443
- 8.
- A. Ramsay, Virtual groups and group actions, Advances in Math. 6 (1971), 253-322. MR 43 #7590. MR 281876
- 9.
- J. von Neumann, Zur Operatorenmethode in der klassichen Mechanik, Ann. of Math. 33 (1932), 587-642. MR 1503078
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Additional Information:
DOI:
10.1090/S0002-9904-1975-13770-0
PII:
S 0002-9904(1975)13770-0
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