Abstract
The main properties of topological groups and semigroups, their characters and semicharacters are outlined in this chapter. Some of the basic features of various spaces of functions, measures and operators on groups are presented too. Semigroup algebras ℓ1(S), introduced at the end of the chapter, are closely related with the underlying semigroups S.
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© 2006 Birkhäuser Verlag
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(2006). Groups and semigroups. In: Shift-invariant Uniform Algebras on Groups. Monografie Matematyczne, vol 68. Birkhäuser Basel. https://doi.org/10.1007/3-7643-7605-8_3
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DOI: https://doi.org/10.1007/3-7643-7605-8_3
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-7643-7606-2
Online ISBN: 978-3-7643-7605-5
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