Renault's j-map for Fell bundle C⁎-algebras

Autor:	Anna Duwenig, Dana P. Williams, Joel Zimmerman
Rok vydání:	2022
Předmět:	Mathematics::Operator Algebras Mathematics::K-Theory and Homology Mathematics::Category Theory Applied Mathematics FOS: Mathematics Mathematics - Operator Algebras 46L05 46L55 Operator Algebras (math.OA) Analysis
Zdroj:	Journal of Mathematical Analysis and Applications. 516:126530
ISSN:	0022-247X
DOI:	10.1016/j.jmaa.2022.126530
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:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::45f8297c343a26e241b3958e3874f703 https://doi.org/10.1016/j.jmaa.2022.126530 Zobrazit plný text záznamu Full Text from ScienceDirect