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math.OA2025
Actions of tensor categories on Kirchberg algebras
Kan Kitamura
We characterize the simplicity of Pimsner algebras for non-proper C*-correspondences. With the aid of this criterion, we give a systematic strategy to produce outer actions of unit…
math.OA2025
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.OA2024
A note on quantum subgroups of free quantum groups
Mao Hoshino, Kan Kitamura
In this short note, quantum subgroups in finite free products of the Pontryagin duals of free unitary quantum groups are classified. They correspond to pairs of a subgroup and…