10 citations · 32 across the 9 of their papers we have counts for
11 papers
Tensor category equivariant KK-theory
Yuki Arano, Kan Kitamura, Yosuke Kubota
In this paper, we introduce Kasparov's bivariant K-theory that is equivariant under symmetries of a C*-tensor category. It is motivated by some dualities in quantum group equivaria…
On the Baum--Connes conjecture for discrete quantum groups with torsion and the quantum Rosenberg Conjecture
Yuki Arano, Adam Skalski
We give a decomposition of the equivariant Kasparov category for discrete quantum group with torsions. As an outcome, we show that the crossed product by a discrete quantum group i…
Ergodic theory of affine isometric actions on Hilbert spaces
Yuki Arano, Yusuke Isono, Amine Marrakchi
The classical Gaussian functor associates to every orthogonal representation of a locally compact group a probability measure preserving action of called a Gaussian action.…
The Fourier algebra of a rigid -tensor category
Yuki Arano, Tim de Laat, Jonas Wahl
Completely positive and completely bounded mutlipliers on rigid -tensor categories were introduced by Popa and Vaes. Using these notions, we define and study the Fourier-…
Comparison of unitary duals of Drinfeld doubles and complex semisimple Lie groups
Yuki Arano
We determine a substantial part of the unitary representation theory of the Drinfeld double of a -deformation of a compact Lie group in terms of the complexification of the comp…
Howe-Moore type theorems for quantum groups and rigid C*-tensor categories
Yuki Arano, Tim de Laat, Jonas Wahl
We formulate and study Howe-Moore type properties in the setting of quantum groups and in the setting of rigid -tensor categories. We say that a rigid -tensor c…
C*-tensor categories and subfactors for totally disconnected groups
Yuki Arano, Stefaan Vaes
We associate a rigid C*-tensor category to a totally disconnected locally compact group and a compact open subgroup . We characterize when has the Haagerup prope…
Compact Lie group actions with continuous Rokhlin property
Yuki Arano, Yosuke Kubota
In this paper, we study continuous Rokhlin property of -dynamical systems using techniques of equivariant -theory and quantum group theory. In particular…
Torsion-freeness for fusion rings and tensor C*-categories
Yuki Arano, Kenny De Commer
Torsion-freeness for discrete quantum groups was introduced by R. Meyer in order to formulate a version of the Baum-Connes conjecture for discrete quantum groups. In this note, we…
A categorical perspective on the Atiyah-Segal completion theorem in -theory
Yuki Arano, Yosuke Kubota
We investigate the homological ideal , the kernel of the restriction functors in compact Lie group equivariant Kasparov categories. Applying the relative homologi…
Unitary spherical representations of Drinfeld doubles
Yuki Arano
We study irreducible spherical unitary representations of the Drinfeld double of a -deformation of a connected simply connected compact Lie group, which can be considered as a q…