Burger, M.; Monod, N. Continuous bounded cohomology and applications to rigidity theory. (English) Zbl 1006.22010 Geom. Funct. Anal. 12, No. 2, 219-280 (2002). The paper presents a theory of continuous bounded cohomology of locally compact groups with coefficients in Banach modules. The paper proves several results and we highlight some of them. Theorem 2: If \(G\) is a locally compact second countable group, \(S\) an amenable regular \(G\)-space and \(E\) a coefficient \(G\)-module, then the continuous bounded cohomology \(H^*_{cb} (G,E)\) is computed by the complex \[ 0\to L^\infty_{\omega^*} (S,E)^G\to L^\infty_{\omega^*} (S^2,E)^G\to \dots \] of bounded \(G\)-invariant cochains on \(S\). Reviewer: Tyakal Venkataramana (Mumbai) Cited in 3 ReviewsCited in 56 Documents MSC: 22E40 Discrete subgroups of Lie groups Keywords:rigidity theory; continuous bounded cohomology; locally compact groups PDF BibTeX XML Cite \textit{M. Burger} and \textit{N. Monod}, Geom. Funct. Anal. 12, No. 2, 219--280 (2002; Zbl 1006.22010) Full Text: DOI