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Completely positive multipliers of quantum groups
Locally compact quantum group manageable multiplicative unitary completely bounded multiplier
2011/9/21
Abstract: We show that any completely positive multiplier of the convolution algebra of the dual of an operator algebraic quantum group $\G$ (either a locally compact quantum group, or a quantum group...
Completely bounded representations of convolution algebras of locally compact quantum groups
Locally compact quantum group Fourier algebra completely bounded homomorphism corepresentation amenability
2011/9/1
Abstract: Given a locally compact quantum group $\G$, we study the question of when completely bounded homomorphisms $\pi:L^1(\mathbb G)\rightarrow\mathcal B(H)$ are similar to *-homomorphisms. By ana...
Topological invariants from non-restricted quantum groups
Topological invariants non-restricted quantum groups
2010/12/9
We introduce the notion of a relative spherical category. We prove that such a category
gives rise to the generalized Kashaev and Turaev-Viro-type 3-manifold invariants de ned in [12] and [17], respe...
We give a construction of a Dirac operator on a quantum group based on any simple Lie algebra
of classical type. The Dirac operator is an element in the vector space clq(g) U q(g), where the first t...