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SUMMARY:Representing topological full groups in Steinberg algebras and C*-
 algebras - Becky Armstrong (Victoria University of Wellington)
DTSTART:20250704T091000Z
DTEND:20250704T093000Z
UID:TALK233800@talks.cam.ac.uk
DESCRIPTION:Topological full groups are a useful groupoid invariant that h
 ave been used to solve important open problems in group theory. Steinberg 
 algebras are a purely algebraic analogue of groupoid C*-algebras that gene
 ralise both Leavitt path algebras and Kumjian&ndash\;Pask algebras. The St
 einberg algebra of an ample Hausdorff groupoid is a quotient of the algebr
 a generated by the inverse semigroup of compact open bisections of the gro
 upoid. Since the topological full group of an ample Hausdorff groupoid sit
 s inside this inverse semigroup\, it is natural to ask what the relationsh
 ip is between the algebra of the topological full group and the Steinberg 
 algebra of the groupoid. In this talk I will present recent results answer
 ing this question. (This is joint work with Lisa Orloff Clark\, Mahya Ghan
 dehari\, Eun Ji Kang\, and Dilian Yang.)
LOCATION:External
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