Twisted Orlicz algebras, I
Copyright policy )Twisted Orlicz algebras, I
AbstractLet G be a locally compact group, let be a 2‐cocycle, and let () be a complementary pair of strictly increasing continuous Young functions. We continue our investigation in [14] of the algebraic properties of the Orlicz space with respect to the twisted convolution ⊛ coming from Ω. We show that the twisted Orlicz algebra posses a bounded approximate identity if and only if it is unital if and only if G is discrete. On the other hand, under suitable condition on Ω, becomes an Arens regular, dual Banach algebra. We also look into certain cohomological properties of , namely amenability and Connes‐amenability, and show that they rarely happen. We apply our methods to compactly generated group of polynomial growth and demonstrate that our results could be applied to variety of cases.
- Istanbul University Turkey
- University of Saskatchewan Canada
Young functions, Arens regularity, dual Banach algebras, locally compact groups, (Connes) amenabilty, Orlicz spaces, \(L^p\)-spaces and other function spaces on groups, semigroups, etc., Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), Functional Analysis (math.FA), Mathematics - Functional Analysis, groups with polynomial growth, FOS: Mathematics, Cohomology of groups, 2-cocycles and 2-coboundaries, weights, twisted convolution, \(L^1\)-algebras on groups, semigroups, etc., symmetry
Young functions, Arens regularity, dual Banach algebras, locally compact groups, (Connes) amenabilty, Orlicz spaces, \(L^p\)-spaces and other function spaces on groups, semigroups, etc., Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), Functional Analysis (math.FA), Mathematics - Functional Analysis, groups with polynomial growth, FOS: Mathematics, Cohomology of groups, 2-cocycles and 2-coboundaries, weights, twisted convolution, \(L^1\)-algebras on groups, semigroups, etc., symmetry
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