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Higher cohomology for abelian groups of toral automorphisms II: the partially hyperbolic case, and corrigendum

Published online by Cambridge University Press:  15 September 2005

ANATOLE KATOK  and
SVETLANA KATOK
ANATOLE KATOK
Affiliation:
Department of Mathematics, Pennsylvania State University, University Park, PA 16802, USA (e-mail: katok_a@math.psu.edu, katok_s@math.psu.edu)
SVETLANA KATOK
Affiliation:
Department of Mathematics, Pennsylvania State University, University Park, PA 16802, USA (e-mail: katok_a@math.psu.edu, katok_s@math.psu.edu)
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Abstract

In this paper we extend the results of an earlier paper, which deal with a description of the smooth untwisted cohomology for ${\mathbb Z}^k$-actions by hyperbolic automorphisms of a torus, to the partially hyperbolic case. Along the way we correct an error found in one of the steps in the proof for the hyperbolic case.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 25 , Issue 6 , December 2005 , pp. 1909 - 1917
Copyright
2005 Cambridge University Press

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