The interplay between Steinberg algebras and partial skew rings

Autor:	Beuter, Viviane, Gonçalves, Daniel
Rok vydání:	2017
Předmět:	Mathematics - Rings and Algebras Mathematics - Operator Algebras 16W22 16W55 22A22 47L40
Druh dokumentu:	Working Paper
Popis:	We study the interplay between Steinberg algebras and partial 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. Comment: 23 pages and 1 figure
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1706.00127 Zobrazit plný text záznamu View this record from Arxiv