Inverse Sets and Inverse Correspondences Over Inverse Semigroups

Autor:	Uchimura, Tomoki
Rok vydání:	2024
Předmět:	Mathematics - Operator Algebras Mathematics - Category Theory Mathematics - Group Theory Mathematics - Rings and Algebras
Druh dokumentu:	Working Paper
Popis:	In this paper, we introduce notions called inverse set and inverse correspondence over inverse semigroups. These are analogies of Hilbert $C^*$-modules and \Ccorrs in the $C^*$-algebra theory. We show that inverse semigroups and inverse correspondences form a bicategory. In this bicategory, two inverse semigroups are equivalent if and only if they are Morita equivalent. Comment: 38 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2404.06163 Zobrazit plný text záznamu View this record from Arxiv