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arXiv · 2604.09380

Duality of partial Rokhlin dimension

Jan Gundelach
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Abstract

We extend the notion of representability dimension to partial actions and introduce a notion of dual representability dimension for global actions by finite abelian groups. We show that the Rokhlin dimension of a partial action by a finite abelian group agrees with the dual representability dimension of the dual action on the partial crossed product, while the representability dimension of a partial action agrees with the Rokhlin dimension of its dual.

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Jan Gundelach. 2026-04-10. Duality of partial Rokhlin dimension. https://arxiv.org/abs/2604.09380

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