most citedGroupoid homology and K-theory for algebraic actions from number theory

1 citations · 1 across the 1 of their papers we have counts for

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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.DS2026

Algebraic actions II. Groupoid rigidity

Chris Bruce, Xin Li

We establish rigidity for partial transformation groupoids associated with algebraic actions of semigroups: If two such groupoids (satisfying appropriate conditions) are isomorphic…

math.GR2025

Boundary actions of outer automorphism groups of Thompson-like groups

Chris Bruce, Xin Li, Takuya Takeishi

For every Cuntz--Krieger groupoid, we show that there is a topologically free boundary action of the outer automorphism group of its topological full group on the Hilbert cube. In…