Download E-books Continuous Bounded Cohomology of Locally Compact Groups (Lecture Notes in Mathematics) PDF

By Nicolas Monod

Contemporary learn has again and again resulted in connections among very important pressure questions and bounded cohomology. in spite of the fact that, the latter has remained more often than not intractable. This monograph introduces the functorial examine of the continual bounded cohomology for topological teams, with coefficients in Banach modules. The robust strategies of this extra normal concept have effectively solved the various unique difficulties in bounded cohomology. As functions, one obtains, specifically, tension effects for activities at the circle, for representations on advanced hyperbolic areas and on Teichmüller areas. a different attempt has been made to supply exact proofs or references in particularly a few generality.

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