Multipliers on a new class of Banach algebras, locally compact quantum groups, and topological centres

DOI10.1112/plms/pdp026zbMath1192.43002arXivmath/0611726OpenAlexW2029573719MaRDI QIDQ5190313

Zhong-Jin Ruan, Zhiguo Hu, Matthias Neufang

Publication date: 15 March 2010

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0611726

zbMATH Keywords

multiplier algebrasBeurling algebraFourier algebratopological centres

Mathematics Subject Classification ID

General theory of topological algebras (46H05) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) Measure algebras on groups, semigroups, etc. (43A10) (L^1)-algebras on groups, semigroups, etc. (43A20)

Related Items

Module homomorphisms and multipliers on locally compact quantum groups, Amenability and covariant injectivity of locally compact quantum groups, Polynomial growth of discrete quantum groups, topological dimension of the dual and *-regularity of the Fourier algebra, Configurations and invariant nets for amenable hypergroups and related algebras, On the topological centre of the algebra \(\mathrm{LUC}({\mathcal G})^*\) for general topological groups, Module maps on duals of Banach algebras and topological centre problems, Fourier Spaces and Completely Isometric Representations of Arens Product Algebras, Quantum semigroup compactifications and uniform continuity on locally compact quantum groups, Compact and weakly compact multipliers of locally compact quantum groups, POISSON BOUNDARIES OVER LOCALLY COMPACT QUANTUM GROUPS, Geometry of \(C^\ast \)-algebras, and the bidual of their projective tensor product, Distinguishing properties of Arens irregularity, On topological centre problems and SIN quantum groups, On the structure of ideals and multipliers: A unified approach, INNER AMENABILITY OF LOCALLY COMPACT QUANTUM GROUPS, Ergodic properties and harmonic functionals on locally compact quantum groups