On extremal and perfect σ-algebras for $ℤ^{d}$-actions on a Lebesgue space

B. Kamiński; Z. Kowalski; P. Liardet

ArticleOriginal scientific text

Title

On extremal and perfect σ-algebras for $ℤ^{d}$ -actions on a Lebesgue space

Authors ¹, ², ³

Affiliations

Faculty of Mathematics and Informatics, Nicholas Copernicus University, Chopina 12/18, 87-100 Toruń, Poland
Institute of Mathematics, Wrocław Technical University, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland
Université de Provence, Centre de Mathématiques et d'Informatique, 39, Rue Joliot Curie, F-13453 Marseille Cedex 13, France

Abstract

We show that for every positive integer d there exists a

ℤ^{d}

-action and an extremal σ-algebra of it which is not perfect.

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Title

On extremal and perfect σ-algebras for ℤd-actions on a Lebesgue space

Affiliations

Abstract

Bibliography

On extremal and perfect σ-algebras for $ℤ^{d}$ -actions on a Lebesgue space