Renault's $j$-map for Fell bundle $C^*$-algebras

Autor:	Duwenig, Anna, Williams, Dana P., Zimmerman, Joel
Rok vydání:	2022
Předmět:	Mathematics - Operator Algebras 46L05 46L55
Druh dokumentu:	Working Paper
Popis:	If $p \colon \mathcal B\to G$ is a Fell bundle over an \'etale groupoid, then we show that there is an norm reducing injective linear map $j \colon C^*_r(G;\mathcal B)\to \Gamma_{0}(G;\mathcal B)$ generalizing the well know map $j \colon C^*_{r}(G)\to C_{0}(G)$ in the case of an \'etale groupoid.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2203.01165 Zobrazit plný text záznamu View this record from Arxiv