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Rigidity in Higher Rank Abelian Group Actions, Volume I: Introduction and Cocycle Problem

Anatole Katok and Viorel Niţică
Publisher: 
Cambridge University Press
Publication Date: 
2011
Number of Pages: 
313
Format: 
Hardcover
Series: 
Cambridge Tracts in Mathematics 185
Price: 
85.00
ISBN: 
9780521879095
Category: 
Monograph
We do not plan to review this book.

Introduction: an overview
Part I. Preliminaries from Dynamics and Analysis: 1. Definitions and properties of abelian group actions
2. Principal classes of algebraic actions
3. Preparatory results from analysis
Part II. Cocycles, Cohomology and Rigidity: 4. First cohomology and rigidity for vector-valued cocycles
5. First cohomology and rigidity for general cocycles
6. Higher order cohomology
References
Index.