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An invitation to bounded cohomology. (English) Zbl 1127.55002

Sanz-Solé, Marta (ed.) et al., Proceedings of the international congress of mathematicians (ICM), Madrid, Spain, August 22–30, 2006. Volume II: Invited lectures. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-022-7/hbk). 1183-1211 (2006).
This paper explores the theory of bounded cohomology. After giving preliminary informations, many problems on the theory are stated. The topics covered may be summarized as: characteristic classes, quasifications, amenability, rigidity, randomorphisms and orbit equivalence.
For the entire collection see [Zbl 1095.00005].

MSC:

55N99 Homology and cohomology theories in algebraic topology
20F65 Geometric group theory
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