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An algebraic approach to the Weyl groupoid
- 1.0534624 - MÚ 2022 RIV US eng J - Journal Article
Bice, Tristan
An algebraic approach to the Weyl groupoid.
Journal of Algebra. Roč. 568, February (2021), s. 193-240. ISSN 0021-8693. E-ISSN 1090-266X
R&D Projects: GA ČR(CZ) GX20-31529X
Institutional support: RVO:67985840
Keywords : *-ring * *-semigroup * C*-algebra * inverse semigroup
OECD category: Pure mathematics
Impact factor: 0.908, year: 2021
Method of publishing: Limited access
https://dx.doi.org/10.1016/j.jalgebra.2020.10.010
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.
Permanent Link: http://hdl.handle.net/11104/0312795
Number of the records: 1