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Details of talk

TitleGraded Steinberg algebras and their representations
PresenterHuanhuan Li (University of Western Sydney)
Author(s)Dr Huanhuan li
SessionCategory Theory, Algebraic Topology, K-Theory
Time15:00:00 2017-12-15
Abstract


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We study the category of left unital graded modules over the Steinberg algebra
of a graded ample Hausdorff groupoid. We show that this category is isomorphic
to the category of unital left modules over the Steinberg algebra of the
skew-product groupoid arising from the grading. To do this, we show that the
Steinberg algebra of the skew product is graded isomorphic to a natural
generalisation of the the Cohen--Montgomery smash product of the Steinberg
algebra of the underlying groupoid with the grading group. This is joint work
with Pere Ara, Roozbeh Hazrat, Aidan Sims.