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math.OA2023
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…
math.OA2020
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…