Compact and weakly compact multipliers of locally compact quantum groups

DOI10.1007/s41980-018-0008-yzbMath1417.46047OpenAlexW2619987804MaRDI QIDQ1734015

Ahmad Mollakhalili, Ali Reza Medghalchi

Publication date: 22 March 2019

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41980-018-0008-y

zbMATH Keywords

amenabilitylocally compact quantum groups(weakly) compact operatorsmodule homomorphims

Mathematics Subject Classification ID

(C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Noncommutative measure and integration (46L51) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89)

Related Items

Multiplier completion of Banach algebras with application to quantum groups

Cites Work

• Arens regularity of module actions and weak amenability of Banach algebras
• Locally compact quantum groups. A von Neumann algebra approach
• Remarks on the quantum Bohr compactification
• Module homomorphisms associated with Banach algebras
• Quantum Bohr compactification
• Module homomorphisms and multipliers on locally compact quantum groups
• On locally compact quantum groups whose algebras are factors
• On character amenability of Banach algebras
• On topological centre problems and SIN quantum groups
• Geometry of the Fourier algebras and locally compact groups with atomic unitary representations
• Arens regularity and discrete groups
• Topological algebras with dense socle
• Module homomorphisms and topological centres associated with weakly sequentially complete Banach algebras
• Non-semi-regular quantum groups coming from number theory
• Amenability and the bicrossed product construction
• Multilinear maps on products of operator algebras
• Weakly compact multipliers on group algebras
• Multipliers and ideals in second conjugate algebras related to locally compact groups
• Amenability of Hopf von Neumann algebras and Kac algebras
• Completely positive definite functions and Bochner's theorem for locally compact quantum groups
• Weakly compact operators on operator algebras
• On certain elements of \(C^ *\)-algebras
• The socle and finite dimensionality of some Banach algebras
• Compact Operators in Regular LCQ Groups
• A Course in Abstract Harmonic Analysis
• The centre of the bidual of Fourier algebras (discrete groups)
• COMPACT ELEMENTS AND OPERATORS OF QUANTUM GROUPS
• Completely bounded multipliers over locally compact quantum groups
• The socle and finite-dimensionality of a semiprime Banach algebra
• Multipliers, self-induced and dual Banach algebras
• Multipliers of locally compact quantum groups via Hilbert C *-modules
• Weak Compactness and Vector Measures
• On the distance of the composition of two derivations to the generalized derivations
• Compactness conditions for elementary operators
• Amenability and covariant injectivity of locally compact quantum groups
• Character amenability of Banach algebras
• On character amenable Banach algebras
• A REPRESENTATION THEOREM FOR LOCALLY COMPACT QUANTUM GROUPS
• On the Second Conjugate Algebra of L ₁ (G ) of a Locally Compact Group
• Uniformly Continuous Functionals on the Fourier Algebra of Any Locally Compact Group
• The Second Conjugate Algebra of the Fourier Algebra of a Locally Compact Group
• Arens Regularity and the Algebra of Double Multipliers
• Isomorphisms and multipliers on second dual algebras of Banach algebras
• On Vector Measures
• Weakly Completely Continuous Elements of C ∗ -Algebras
• Finite-dimensional left ideals in some algebras associated with a locally compact group
• Arens regularity of weakly sequentially complete Banach algebras
• Locally compact quantum groups in the von Neumann algebraic setting
• Amenability and Co-Amenability for Locally Compact Quantum Groups
• Module maps over locally compact quantum groups
• The centre of the second conjugate algebra of the Fourier algebra for infinite products of groups
• The Lower Socle and Finite Rank Elementary Operators
• Semiprime Algebras with Finiteness Conditions
• LOCALLY COMPACT QUANTUM GROUPS IN THE UNIVERSAL SETTING
• Amenability and weak amenability of second conjugate Banach algebras
• Topological centers of certain dual algebras
• COMPLETELY POSITIVE MULTIPLIERS OF QUANTUM GROUPS
• Multipliers on a new class of Banach algebras, locally compact quantum groups, and topological centres
• ISOMETRIES BETWEEN QUANTUM CONVOLUTION ALGEBRAS
• Uniform continuity over locally compact quantum groups
• L'algèbre de Fourier d'un groupe localement compact
• On the Arens Product and Annihilator Algebras
• THE IRREGULARITY OF MULTIPLICATION IN GROUP ALGEBRAS
• The second duals of Beurling algebras
• Weakly Compact B # -Algebras
• The Structure of Certain Operator Algebras
• Locally compact quantum groups
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