10 citations · 32 across the 9 of their papers we have counts for
6 papers · 1 filter
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…
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-…
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…