Non-amenable groups with amenable action and some paradoxical decompositions in the plane

Jan Mycielski

Colloquium Mathematicae (1998)

  • Volume: 75, Issue: 1, page 149-157
  • ISSN: 0010-1354

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Mycielski, Jan. "Non-amenable groups with amenable action and some paradoxical decompositions in the plane." Colloquium Mathematicae 75.1 (1998): 149-157. <http://eudml.org/doc/210524>.

@article{Mycielski1998,
author = {Mycielski, Jan},
journal = {Colloquium Mathematicae},
keywords = {measures on rational and real manifolds; paradox sets},
language = {eng},
number = {1},
pages = {149-157},
title = {Non-amenable groups with amenable action and some paradoxical decompositions in the plane},
url = {http://eudml.org/doc/210524},
volume = {75},
year = {1998},
}

TY - JOUR
AU - Mycielski, Jan
TI - Non-amenable groups with amenable action and some paradoxical decompositions in the plane
JO - Colloquium Mathematicae
PY - 1998
VL - 75
IS - 1
SP - 149
EP - 157
LA - eng
KW - measures on rational and real manifolds; paradox sets
UR - http://eudml.org/doc/210524
ER -

References

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  1. [B] A. Borel, On free subgroups of semi-simple groups, Enseign. Math. 29 (1983), 151-164. Zbl0533.22009
  2. [DS] P. Deligne and D. Sullivan, Division algebras and the Hausdorff-Banach-Tarski Paradox, ibid., 145-150. Zbl0521.57035
  3. [K] M. Kuranishi, On everywhere dense imbedding of free groups in Lie groups, Nagoya Math. J. 2 (1951), 63-71. Zbl0045.31003
  4. [M1] J. Mycielski, The Banach-Tarski paradox for the hyperbolic plane, Fund. Math. 132 (1989), 143-149. Zbl0685.51012
  5. [M2] J. Mycielski, Finitely additive measures I, Colloq. Math. 42 (1979), 309-318. Zbl0431.28003
  6. [MW] J. Mycielski and S. Wagon, Large free groups of isometries and their geometrical uses, Enseign. Math. 30 (1984), 247-267. Zbl0563.57021
  7. [S] K. Satô, A free group acting without fixed points on the rational unit sphere, Fund. Math. 148 (1995), 63-69. Zbl0837.20034
  8. [W] S. Wagon, The Banach-Tarski Paradox, Cambridge Univ. Press, 1985 (3rd printing). Zbl0569.43001

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