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(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2017)
Given a rigid C∗ -tensor category C with simple unit and a probability measure µ on the set of isomorphism classes of its simple objects, we define the Poisson boundary of (C, µ). This is a new C∗ -tensor category P, ...
(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2016)
We classify up to isomorphism all non-Kac compact quantum groups with the same fusion rules and dimension function as SU(n). For this we first prove, using categorical Poisson boundary, the following general result. Let G ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2016)
Given a Hopf algebra A graded by a discrete group together with an action of the same group preserving the grading, we define a new Hopf algebra, which we call the graded twisting of A. If the action is by adjoint maps, ...
(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2016)
Motivated by the relation between the Drinfeld double and central property (T) for quantum groups, given a rigid C*-tensor category C and a unitary half-braiding on an ind-object, we construct a *-representation of the ...
(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2019)
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2018)
(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2018)
Continuing our previous work on graded twisting of Hopf algebras and monoidal categories, we introduce a graded twisting construction for equivariant comodule algebras and module categories. As an example we study actions ...
(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2018)
We prove two results on the tube algebras of rigid C*-tensor categories. The first is that the tube algebra of the representation category of a compact quantum group G is a full corner of the Drinfeld double of G. As an ...