Reconstruction of graded groupoids from graded Steinberg algebras

Joan Bosa (University of Glasgow)

Tuesday 4th October, 2016 16:00-17:00 Maths 522


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 functiosn 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. It is a joint work with P. Ara, R. Hazrat and A. Sims

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