An algebraic approach to the Weyl groupoid

نویسندگان

چکیده

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

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ژورنال

عنوان ژورنال: Journal of Algebra

سال: 2021

ISSN: ['1090-266X', '0021-8693']

DOI: https://doi.org/10.1016/j.jalgebra.2020.10.010