Compact and Weakly Compact Multipliers of Locally Compact Quantum Groups

Let [Formula: see text] be a semiprime Banach algebra and let [Formula: see text] be a nonzero character on [Formula: see text]. In this paper, we discuss the projectivity of certain left Banach [Formula: see text]-modules in terms of left [Formula: see text]-contractibility of Banach algebras. We also apply our results for the category of quantum group algebras and eventually, we present illustrative examples of the projective left Banach modules over the group algebra [Formula: see text] and the Fourier algebra [Formula: see text] of a locally compact group [Formula: see text].

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Compact and Weakly Compact Multipliers of Locally Compact Quantum Groups

Cited by 2 publications

References 65 publications

Multiplier completion of Banach algebras with application to quantum groups

Multiplier completion of Banach algebras with application to quantum groups

Projectivity of some Banach modules over semiprime Banach algebras

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