An Algebraic Approach to the Weyl Groupoid

Published 20 Nov 2019 in math.OA and math.RA | (1911.08812v3)

Abstract: We unify the Kumjian-Renault Weyl groupoid construction with the Lawson-Lenz version of Exel's tight groupoid construction. We do this by utilising only a weak algebraic fragment of the C*-algebra structure, namely its *-semigroup reduct. Fundamental properties like local compactness are also shown to remain valid in general classes of *-rings.

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Tristan Bice

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