Reconstructing étale groupoids from semigroups

نویسندگان

چکیده

Abstract We unify various étale groupoid reconstruction theorems such as the following: • Kumjian and Renault’s from a C*-algebra; Exel’s an ample inverse semigroup; Steinberg’s ring; Choi, Gardella Thiel’s Lp {L^{p}} -algebra. do this by working with certain bumpy semigroups S of functions defined on G . The semigroup structure together diagonal subsemigroup D then yields natural domination relation xmlns:m="http://www.w3.org/1998/Math/MathML">? {\prec} -ultrafilters is isomorphic to original

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ژورنال

عنوان ژورنال: Forum Mathematicum

سال: 2021

ISSN: ['1435-5337', '0933-7741']

DOI: https://doi.org/10.1515/forum-2021-0054