Extensions of ergodic actions and generalized discrete spectrum
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- by Robert J. Zimmer PDF
- Bull. Amer. Math. Soc. 81 (1975), 633-636
References
- L. M. Abramov, Metric automorphisms with quasi-discrete spectrum, Izv. Akad. Nauk SSSR Ser. Mat. 26 (1962), 513–530 (Russian). MR 0143040
- H. Furstenberg, The structure of distal flows, Amer. J. Math. 85 (1963), 477–515. MR 157368, DOI 10.2307/2373137
- F. J. Hahn, On affine transformations of compact abelian groups, Amer. J. Math. 85 (1963), 428–446. MR 155956, DOI 10.2307/2373133
- Paul R. Halmos and John von Neumann, Operator methods in classical mechanics. II, Ann. of Math. (2) 43 (1942), 332–350. MR 6617, DOI 10.2307/1968872
- George W. Mackey, Ergodic transformation groups with a pure point spectrum, Illinois J. Math. 8 (1964), 593–600. MR 172961
- George W. Mackey, Ergodic theory and virtual groups, Math. Ann. 166 (1966), 187–207. MR 201562, DOI 10.1007/BF01361167
- William Parry, Zero entropy of distal and related transformations, Topological Dynamics (Symposium, Colorado State Univ., Ft. Collins, Colo., 1967) Benjamin, New York, 1968, pp. 383–389. MR 0234443
- Arlan Ramsay, Virtual groups and group actions, Advances in Math. 6 (1971), 253–322 (1971). MR 281876, DOI 10.1016/0001-8708(71)90018-1
- J. von Neumann, Zur Operatorenmethode in der klassischen Mechanik, Ann. of Math. (2) 33 (1932), no. 3, 587–642 (German). MR 1503078, DOI 10.2307/1968537
Additional Information
- Journal: Bull. Amer. Math. Soc. 81 (1975), 633-636
- MSC (1970): Primary 22D40, 28A65, 54H20; Secondary 22D10, 22D30, 47A35
- DOI: https://doi.org/10.1090/S0002-9904-1975-13770-0
- MathSciNet review: 0372160