Compact abelian group extensions of dynamical systems II

Roger Jones; William Parry

Compositio Mathematica (1972)

  • Volume: 25, Issue: 2, page 135-147
  • ISSN: 0010-437X

How to cite


Jones, Roger, and Parry, William. "Compact abelian group extensions of dynamical systems II." Compositio Mathematica 25.2 (1972): 135-147. <>.

author = {Jones, Roger, Parry, William},
journal = {Compositio Mathematica},
language = {eng},
number = {2},
pages = {135-147},
publisher = {Wolters-Noordhoff Publishing},
title = {Compact abelian group extensions of dynamical systems II},
url = {},
volume = {25},
year = {1972},

AU - Jones, Roger
AU - Parry, William
TI - Compact abelian group extensions of dynamical systems II
JO - Compositio Mathematica
PY - 1972
PB - Wolters-Noordhoff Publishing
VL - 25
IS - 2
SP - 135
EP - 147
LA - eng
UR -
ER -


  1. W. Parry [1] Compact abelian group extensions of discrete dynamical systems. Z. Wahr. Verw. Geb.13 (1969) 95-113. Zbl0184.26901MR260976
  2. W. Parry [2] Spectral analysis of G-extensions of dynamical systems. Topology9 (1970) 217-224. Zbl0176.20502MR261581
  3. R. Ellis [3] The construction of minimal discrete flows. Amer. J. Math.87 (1965) 564-574. Zbl0129.38704MR185589
  4. H. Furstenberg [4] Strict ergodicity and transformations of the torus. Amer. J. Math.83 (1961) 573-601. Zbl0178.38404MR133429
  5. H. Helson [5] Compact groups with ordered duals. Proc. London Math. Soc. 3.14A. (1965) 144-156. Zbl0142.10401MR204989
  6. T.W. Gamelin [6] Uniform Algebras. Prentice-Hall, 1969. Zbl0213.40401MR410387
  7. W. Parry [7] Ergodic properties of affine transformations and flows on nilmanifolds. Amer. J. Math.91 (1969) 757-771. Zbl0183.51503MR260975
  8. K. Thomas [8] Ergodic theory of G-spaces. (Thesis.)University of Warwick, Coventry, 1969. 
  9. R. Peleg [9] Some extensions of weakly-mixing flows. (To appear.) Zbl0213.50502MR281184
  10. J.L. Kelley [10] General Topology. Van Nostrand, New York, 1955. Zbl0066.16604MR70144
  11. V.A. Rohlin [11] Selected topics from the metric theory of dynamical systems. Uspehi Mat. Nauk 4.2 (1949) 57-128.(Amer. Math. Soc. Transl. (2) 49 (1966) 171-240.) Zbl0185.21802MR30710

Citations in EuDML Documents

  1. William Parry, A note on cocycles in ergodic theory
  2. H. B. Keynes, D. Newton, Ergodic measures for non-abelian compact group extensions
  3. Tadeusz Rojek, The classification problem in Teoplitz Z 2 -extensions
  4. Albert Raugi, Mesures invariantes ergodiques pour des produits gauches
  5. Isaac Kornfeld, Michael Lin, Weak almost periodicity of L 1 contractions and coboundaries of non-singular transformations
  6. Mahesh Nerurkar, Construction of non-constant and ergodic cocycles
  7. M. Lemańczyk, Ergodic Z 2 -extensions over rational pure point spectrum, category and homomorphisms
  8. A. Iwanik, J. Serafin, Most monothetic extensions are rank-1
  9. A. Iwanik, Spectral properties of skew-product diffeomorphisms of tori
  10. Michael R. Herman, Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations

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