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math.OA2023★ 1 cited
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.QA2023
Discrete quantum subgroups of complex semisimple quantum groups
Kan Kitamura
We classify discrete quantum subgroups in the quantum double of the -deformation of a compact semisimple Lie group, regarded as the complexification. We also record their classi…