Cohomology groups, multipliers and factors in ergodic theory

M. Lemańczyk

Studia Mathematica (1997)

  • Volume: 122, Issue: 3, page 275-288
  • ISSN: 0039-3223

Abstract

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The problem of compact factors in ergodic theory and its relationship with the problem of extending a cocycle to a cocycle of a larger action are studied.

How to cite

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Lemańczyk, M.. "Cohomology groups, multipliers and factors in ergodic theory." Studia Mathematica 122.3 (1997): 275-288. <http://eudml.org/doc/216375>.

@article{Lemańczyk1997,
abstract = {The problem of compact factors in ergodic theory and its relationship with the problem of extending a cocycle to a cocycle of a larger action are studied.},
author = {Lemańczyk, M.},
journal = {Studia Mathematica},
keywords = {ergodic automorphism; centralizer; factor; cocycle; coboundary},
language = {eng},
number = {3},
pages = {275-288},
title = {Cohomology groups, multipliers and factors in ergodic theory},
url = {http://eudml.org/doc/216375},
volume = {122},
year = {1997},
}

TY - JOUR
AU - Lemańczyk, M.
TI - Cohomology groups, multipliers and factors in ergodic theory
JO - Studia Mathematica
PY - 1997
VL - 122
IS - 3
SP - 275
EP - 288
AB - The problem of compact factors in ergodic theory and its relationship with the problem of extending a cocycle to a cocycle of a larger action are studied.
LA - eng
KW - ergodic automorphism; centralizer; factor; cocycle; coboundary
UR - http://eudml.org/doc/216375
ER -

References

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  3. [3] P. Gabriel, M. Lemańczyk and K. Schmidt, Extensions of cocycles for hyperfinite actions, and applications, Monatsh. Math. (1996), to appear. Zbl0887.28008
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  9. [9] M. Lemańczyk and M. K. Mentzen, Compact subgroups in the centralizer of natural factors of an ergodic group extension of a rotation determine all factors, Ergodic Theory Dynam. Systems 10 (1990), 763-776. Zbl0725.54030
  10. [10] G. W. Mackey, Borel structures in groups and their duals, Trans. Amer. Math. Soc. 85 (1957), 134-169. Zbl0082.11201
  11. [11] M. K. Mentzen, Ergodic properties of group extensions of dynamical systems with discrete spectra, Studia Math. 101 (1991), 19-31. Zbl0809.28015
  12. [12] C. C. Moore and K. Schmidt, Coboundaries and homomorphisms for non-singular actions and a problem of H. Helson, Proc. London Math. Soc. 40 (1980), 443-475. Zbl0428.28014
  13. [13] D. Newton, On canonical factors of ergodic dynamical systems, J. London Math. Soc. 19 (1979), 129-136. Zbl0425.28012
  14. [14] K. R. Parthasarathy, Multipliers on Locally Compact Groups, Lecture Notes in Math. 93, Springer, 1969. Zbl0188.20202
  15. [15] K. Schmidt, Cocycles of Ergodic Transformation Groups, Lecture Notes in Math. 1, Mac Millan of India, 1977. Zbl0421.28017
  16. [16] J.-P. Thouvenot, Some properties and applications of joinings in ergodic theory, in: Ergodic Theory and its Connections with Harmonic Analysis, London Math. Soc., 1995, 207-235. Zbl0848.28009
  17. [17] W. A. Veech, A criterion for a process to be prime, Monatsh. Math. 94 (1982), 335-341. Zbl0499.28016

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