RIS ID
116460
Abstract
We study Steinberg algebras constructed from ample Hausdorff groupoids over commutative integral domains with identity. We reconstruct (graded) groupoids from (graded) Steinberg algebras and use this to characterize when there is a diagonal-preserving (graded) isomorphism between two (graded) Steinberg algebras. We apply this characterization to groupoids of directed graphs in order to study diagonal-preserving (graded) isomorphisms of Leavitt path algebras and ∗-isomorphisms of graph (Formula presented.)-algebras.
Grant Number
ARC/DP150101595
Publication Details
Meier Carlsen, T. & Rout, J. (2018). Diagonal-preserving graded isomorphisms of Steinberg algebras. Communications in Contemporary Mathematics, 20 (6), 1750064-1-1750064-25.