The classification problem in Teoplitz Z 2 -extensions

Tadeusz Rojek

Compositio Mathematica (1989)

  • Volume: 72, Issue: 3, page 341-358
  • ISSN: 0010-437X

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Rojek, Tadeusz. "The classification problem in Teoplitz $Z_2$-extensions." Compositio Mathematica 72.3 (1989): 341-358. <http://eudml.org/doc/89993>.

@article{Rojek1989,
author = {Rojek, Tadeusz},
journal = {Compositio Mathematica},
keywords = {Toeplitz dynamical system; ergodic dynamical system; Toeplitz -extension; Morse dynamical systems; Morse sequences; discrete spectrum; continuous component; finitary isomorphism; topological isomorphism; topological conjugacy; ergodic -extensions of Toeplitz sequences},
language = {eng},
number = {3},
pages = {341-358},
publisher = {Kluwer Academic Publishers},
title = {The classification problem in Teoplitz $Z_2$-extensions},
url = {http://eudml.org/doc/89993},
volume = {72},
year = {1989},
}

TY - JOUR
AU - Rojek, Tadeusz
TI - The classification problem in Teoplitz $Z_2$-extensions
JO - Compositio Mathematica
PY - 1989
PB - Kluwer Academic Publishers
VL - 72
IS - 3
SP - 341
EP - 358
LA - eng
KW - Toeplitz dynamical system; ergodic dynamical system; Toeplitz -extension; Morse dynamical systems; Morse sequences; discrete spectrum; continuous component; finitary isomorphism; topological isomorphism; topological conjugacy; ergodic -extensions of Toeplitz sequences
UR - http://eudml.org/doc/89993
ER -

References

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  1. [1] M. Denker, C. Grillenberger and K. Sigmund: Ergodic Theory on Compact Spaces. Springer Lecture Notes in Math. 527, (1976) Zbl0328.28008MR457675
  2. [2] E. Eberlein, Toeplitz-Folgen und Gruppentranslationen, Archiv der Mathematik, Vol. 22 (1971) 291-301 Zbl0219.28015MR299753
  3. [3] K. Jacobs, M. Keane, 0-1 sequences of Toeplitz Type, Z. Wahrscheinlichkeitstheorie verw. Gebiete13, 123-131 (1969) Zbl0195.52703MR255766
  4. [4] R. Jones, W. Parry, Compact abelian group extensions of dynamical systems II, Compositio Mathematica, vol. 25, 135-147 (1972) Zbl0243.54039MR338318
  5. [5] M. Keane, Generalized Morse sequences, Z. Wahrscheinlichkeitstheorie verw, Geb. 10, 335-353, (1968) Zbl0162.07201MR239047
  6. [6] D. Newton, On canonical factors of ergodic dynamical systems, J. London Math. Soc. (2) 19, 129-136 (1979) Zbl0425.28012MR527744
  7. [7] W. Parry, Compact abelian group extensions of discrete dynamical systems, Z. Wahrscheinlichkeitstheorie Verw. Geb.13, 95-113 (1969) Zbl0184.26901MR260976
  8. [8] S. Williams, Toeplitz minimal flows which are not uniquely ergodic, Z. Wahrscheinlichkeitstheorie verw. Gebiete67, 95-107 (1984) Zbl0584.28007MR756807

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