1 citations · 1 across the 1 of their papers we have counts for
3 papers
math.OA2026★ 1 cited
Groupoid homology and K-theory for algebraic actions from number theory
Chris Bruce, Yosuke Kubota, Takuya Takeishi
We compute the groupoid homology for the ample groupoids associated with algebraic actions from rings of algebraic integers and integral dynamics. We derive results for the homolog…
math-ph2025
Stable homotopy theory of invertible gapped quantum spin systems I: Kitaev's -spectrum
Yosuke Kubota
We provide a mathematical realization of a conjecture by Kitaev, on the basis of the operator-algebraic formulation of infinite quantum spin systems. Our main results are threefold…
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…