Tracial states on crossed products associated with Furstenberg transformations on the 2-torus

Kazunori Kodaka

Studia Mathematica (1995)

  • Volume: 115, Issue: 2, page 183-187
  • ISSN: 0039-3223

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Kodaka, Kazunori. "Tracial states on crossed products associated with Furstenberg transformations on the 2-torus." Studia Mathematica 115.2 (1995): 183-187. <http://eudml.org/doc/216206>.

@article{Kodaka1995,
abstract = {},
author = {Kodaka, Kazunori},
journal = {Studia Mathematica},
keywords = {Furstenberg transformation on the 2-torus; irrational number; crossed product},
language = {eng},
number = {2},
pages = {183-187},
title = {Tracial states on crossed products associated with Furstenberg transformations on the 2-torus},
url = {http://eudml.org/doc/216206},
volume = {115},
year = {1995},
}

TY - JOUR
AU - Kodaka, Kazunori
TI - Tracial states on crossed products associated with Furstenberg transformations on the 2-torus
JO - Studia Mathematica
PY - 1995
VL - 115
IS - 2
SP - 183
EP - 187
AB -
LA - eng
KW - Furstenberg transformation on the 2-torus; irrational number; crossed product
UR - http://eudml.org/doc/216206
ER -

References

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  1. [1] H. Furstenberg, Strict ergodicity and transformation of the torus, Amer. J. Math. 83 (1961), 573-601. Zbl0178.38404
  2. [2] K. Kodaka, Anzai and Furstenberg transformations on the 2-torus and topologically quasi-discrete spectrum, Canad. Math. Bull., to appear. Zbl0820.46066
  3. [3] W. Parry, Topics in Ergodic Theory, Cambridge University Press, 1981. Zbl0449.28016
  4. [4] G. K. Pedersen, C*-Algebras and their Automorphism Groups, Academic Press, 1979. 
  5. [5] H. Rouhani, A Furstenberg transformation of the 2-torus without quasi-discrete spectrum, Canad. Math. Bull. 33 (1990), 316-322. Zbl0665.46052
  6. [6] M. Takesaki, Theory of Operator Algebras I, Springer-Verlag, 1979. 
  7. [7] J. Tomiyama, Invitation to C*-Algebras and Topological Dynamics, World Sci., Singapore, 1987. Zbl0632.46048

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