On BraidedT-Categories over Multiplier Hopf Algebras

Notes on multiplier Hopf algebras and invariants of framed links and 3-manifolds

“…In the following, we consider the full subcategory A M f , in which all objects are finitedimensional and morphisms are A-linear homomorphisms. Similar to Proposition 3.1 in [14], we can get that A M f is a tensor category with left and right duality as follows: For any finite-dimensional unital left A-module M , M * = Hom(M, k) becomes an object in…”

Another construction of the braided T-category

“…For this, Panaite and Staic (see [6]) and Zunino (see [13]) gave some interesting constructions in Hopf algebra case. Following their motivated idea, Yang et al (see [9,10,12]) generalized their work to multiplier Hopf algebra and weak Hopf algebra cases, also the authors get some new classes of braided T -categories.…”