TWISTS, CROSSED PRODUCTS AND INVERSE SEMIGROUP COHOMOLOGY
نویسندگان
چکیده
Abstract Twisted étale groupoid algebras have recently been studied in the algebraic setting by several authors connection with an abstract theory of Cartan pairs rings. In this paper we show that extensions ample groupoids correspond a precise manner to Boolean inverse semigroups. particular, discrete twists over certain abelian semigroups, and they are classified Lausch’s second cohomology group semigroup. The structure corresponds Baer sum operation on twists. We also define novel notion semigroup crossed product, generalizing skew rings, prove twisted Steinberg Hausdorff instances products. cocycle defining product is same classifies twist Lausch cohomology.
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ژورنال
عنوان ژورنال: Journal of the Australian Mathematical Society
سال: 2021
ISSN: ['1446-8107', '1446-7887']
DOI: https://doi.org/10.1017/s144678872100015x