Topological full groups of one-sided shifts of finite type
Topological full groups of one-sided shifts of finite type
Abstract We explore the topological full group <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:mo>〚</m:mo> <m:mi>G</m:mi> <m:mo>〛</m:mo> </m:mrow> </m:math> $\llbracket G\rrbracket $ of an essentially principal étale groupoid G on a Cantor set. When G is minimal, we show that <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:mo>〚</m:mo> <m:mi>G</m:mi> <m:mo>〛</m:mo> </m:mrow> </m:math> $\llbracket G\rrbracket $ (and its certain …