Duality of partial Rokhlin dimension
Operator Algebras
2026-04-13 v1
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.
Keywords
Cite
@article{arxiv.2604.09380,
title = {Duality of partial Rokhlin dimension},
author = {Jan Gundelach},
journal= {arXiv preprint arXiv:2604.09380},
year = {2026}
}
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12 pages