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Title: Corepresentation theory of multiplier Hopf algebras II
Authors: Kurose, H ×
Van Daele, Alphons
Zhang, YH #
Issue Date: 2000
Publisher: World scientific publ co pte ltd
Series Title: International journal of mathematics vol:11 issue:2 pages:233-278
Abstract: We continue our development of the corepresentation theory of multiplier Hopf algebras. In this paper, we consider the corepresentations of a multiplier Hopf algebra A in a nondegenerate algebra B rather than on a vector space (cf. [25]). We concentrate ourself on those corepresentations of A in B which are invertible elements of the multiplier algebra M(BxA). They are called the unitary corepresentations of A. In particular, the generalized R-matrices or quasi-triangular structures of a regular multiplier Hopf algebra are unitary (bi)corepresentations. As an application the quantum double of an algebraic quantum group can be constructed by means of the universal unitary corepresentation. Moreover, a unitary corepresentation of A in B can implement an inner coaction of A on B which allows us to study the covariant theory and crossed products.
URI: 
ISSN: 0129-167X
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Analysis Section
× corresponding author
# (joint) last author

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