Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8896465 | Journal of Algebra | 2018 | 26 Pages |
Abstract
We study the interplay between Steinberg algebras and skew rings: For a partial action of a group in a Hausdorff, locally compact, totally disconnected topological space, we realize the associated partial skew group ring as a Steinberg algebra (over the transformation groupoid attached to the partial action). We then apply this realization to characterize diagonal preserving isomorphisms of partial skew group rings, over commutative algebras, in terms of continuous orbit equivalence of the associated partial actions. Finally, we show that any Steinberg algebra, associated to a Hausdorff ample groupoid, can be seen as a partial skew inverse semigroup ring.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Viviane Maria Beuter, Daniel Gonçalves,