Slowly oscillating functions in semigroup compactifications and convolution algebras

DOI10.1016/j.jfa.2007.05.004zbMath1125.43002OpenAlexW2090734172MaRDI QIDQ996264

Pekka Salmi, Mahmoud Filali

Publication date: 13 September 2007

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2007.05.004

zbMATH Keywords

slowly oscillating functionsArens productconvolution algebratopological centresemigroup compactification

Mathematics Subject Classification ID

Group algebras of locally compact groups (22D15) (L^1)-algebras on groups, semigroups, etc. (43A20)

Related Items (18)

Fixed point compactifications ⋮ Right ideal decompositions of \(G^\ast\) ⋮ Asymptotic oscillations ⋮ On the topological centre of the algebra \(\mathrm{LUC}({\mathcal G})^*\) for general topological groups ⋮ Continuous right zero homomorphisms of \(U(S)\) ⋮ Finer closed left ideal decompositions of \(G^\ast\) ⋮ Dynamical decompositions of ⋮ Weak factorizations of operators in the group von Neumann algebras of certain amenable groups and applications ⋮ Counting topologically invariant means on \(L_\infty(G)\) and \(VN(G)\) with ultrafilters ⋮ Banach algebras on semigroups and on their compactifications ⋮ Module amenability of the second dual and module topological center of semigroup algebras ⋮ \(K(\beta S)\) is not closed ⋮ Joint continuity of multiplication on the dual of the left uniformly continuous functions ⋮ Extreme non-Arens regularity of the group algebra ⋮ Slowly oscillating functions and closed left ideals of \(\beta \)S ⋮ Topological centres of weighted convolution algebras ⋮ Finite-dimensional left ideals in the duals of introverted spaces ⋮ On the spectra of \(C^\ast\)-algebras of slowly oscillating functions on locally compact groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The norm-strict bidual of a Banach algebra and the dual of Cu(G)
• On the continuity of left translations in the LUC-compactification
• Compact right topological semigroups and generalizations of almost periodicity
• Bidualräume und Vervollständigungen von Banachmoduln
• Algebra in the Stone-Čech compactification: theory and applications
• The topological center of the semigroup of free ultrafilters
• A note on \(G^{\mathcal {LUC}}\) and Veech's theorem
• Coronas of balleans
• The Čech-Stone compactification of a discrete groupoid
• \(t\)-sets and some algebraic properties in \(\beta S\) and in \(\ell_\infty(S)^*\)
• A unified approach to the topological centre problem for certain Banach algebras arising in abstract harmonic analysis
• Normal ball structures
• The topological centre of a compactification of a locally compact group
• Asymptotic topology
• CONTINUITY OF MULTIPLICATION IN THE LARGEST COMPACTIFICATION OF A LOCALLY COMPACT GROUP
• Isometric Isomorphisms Between Banach Algebras Related to Locally Compact Groups
• The Second Dual of the Group Algebra of a Compact Group
• Continuity of Arens multiplication on the dual space of bounded uniformly continuous functions on locally compact groups and topological semigroups
• On the Second Conjugate Algebra of L ₁ (G ) of a Locally Compact Group
• Concerning the Second Dual of the Group Algebra of a Locally Compact Group
• DECIDING SOME UNDECIDABLE TOPOLOGICAL STATEMENTS*
• A Proof of van Douwen's Right Ideal Theorem
• Finite-dimensional right ideals in some algebras associated with a locally compact group
• RIGHT CANCELLATION IN THE ${\cal L}{\cal U}{\cal C}$ -COMPACTIFICATION OF A LOCALLY COMPACT GROUP
• The topological centers of LUC(S)* and M a (S)** of certain foundation semigroups
• On the Spectrum of L^∞ (G)
• Locally Compact Groups, Invariant Means and the Centres of Compactifications
• Coarse cohomology and index theory on complete Riemannian manifolds
• One-sided ideals and right cancellation in the second dual of the group algebra and similar algebras
• On the Size of the Set of Left Invariant Means on a Semigroup
• The second duals of Beurling algebras
• Does Mathematics Need New Axioms?

This page was built for publication: Slowly oscillating functions in semigroup compactifications and convolution algebras