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(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2013)
J. Noncommut. Geom. 7 (2013), 525–546 Copyright 2013 European Mathematical Society.
(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2017)
Given a discrete quantum group H with a finite normal quantum subgroup G, we show that any positive, possibly unbounded, harmonic function on H with respect to an irreducible invariant random walk is G-invariant. This ...
(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2015)
The final publication is available at Springer via http://dx.doi.org/10.1007/s00031-015-9324-y
(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2014)
Assume A is a Fréchet algebra equipped with a smooth isometric action of a vector group V, and consider Rieffel’s deformation AJ of A . We construct an explicit isomorphism between the smooth crossed products V⋉AJ and V⋉A ...
(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 / 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, 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 / PublishedVersion; Peer reviewed, 2018)
(Journal article / Tidsskriftartikkel / AcceptedVersion; 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 ...