RIS ID
116254
Abstract
We show how to reconstruct a graded ample Hausdorff groupoid with topologically principal neutrally graded component from the ring structure of its graded Steinberg algebra over any commutative integral domain with 1, together with the embedding of the canonical abelian subring of functions supported on the unit space. We deduce that diagonal-preserving ring isomorphism of Leavitt path algebras implies C∗-isomorphism of C∗-algebras for graphs E and F in which every cycle has an exit.
Grant Number
ARC/DP150101598
Publication Details
Ara, P., Bosa, J., Hazrat, R. & Sims, A. (2017). Reconstruction of graded groupoids from graded Steinberg algebras. Forum Mathematicum, 29 (5), 1023-1037.