4 citations · 7 across the 7 of their papers we have counts for
8 papers
Yetter-Drinfel'd algebras and coideals of Weak Hopf -Algebras
Leonid Vainerman, Jean-Michel Vallin
We characterize braided commutative Yetter-Drinfeld -algebras over weak Hopf -algebras in categorical terms. Using this, we then study quotient type coideal subalgebras o…
Classifying (Weak) Coideal Subalgebras of Weak Hopf C*-Algebras
Leonid Vainerman, Jean-Michel Vallin
We develop a general approach to the problem of classification of weak coideal C*-subalgebras of weak Hopf C*-algebras. As an example, we consider weak Hopf C*-algebras and their w…
Tannaka-Krein reconstruction for coactions of finite quantum groupoids
Leonid Vainerman, Jean-Michel Vallin
We study coactions of finite quantum groupoids on unital -algebras and obtain the Tannaka-Krein reconstruction theorem for them.
On Z/2Z-extensions of pointed fusion categories
Leonid Vainerman, Jean-Michel Vallin
We give a classification of Z/2Z-graded fusion categories whose 0-component is a pointed fusion category. A number of concrete examples is considered.
Measured Quantum Groupoids Associated with Matched Pairs of Locally Compact Groupoids
Jean-Michel Vallin
Generalizing the notion of matched pair of groups, we define and study matched pairs of locally compact groupoids endowed with Haar systems, in order to give new examples of measur…
Relative matched pairs of finite groups from depth two inclusions of von Neumann algebras to quantum groupoids
Jean-Michel Vallin
In this work we give a generalization of matched pairs of (finite) groups to describe a general class of depth two inclusions of factor von Neumann algebras and the C*-quantum grou…