Abstract
Let G be a topological group. We encompass “abstract” groups in this setting by endowing them with the discrete topology. Our chaxacterization of continuous bounded cohomology will be formulated in a homological language for which the fundamental objects are various types of Banach G-modules. Whenever available, spaces of L ∞ type axe distinguished representatives of the latter.
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© 2001 Springer-Verlag Berlin Heidelberg
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(2001). Banach modules, L∞ spaces. In: Monod, N. (eds) Continuous Bounded Cohomology of Locally Compact Groups. Lecture Notes in Mathematics, vol 1758. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44962-0_2
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DOI: https://doi.org/10.1007/3-540-44962-0_2
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-42054-5
Online ISBN: 978-3-540-44962-1
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