The Zappa-Szép product of a Fell bundle and a groupoid

Autor:	Boyu Li, Anna Duwenig
Rok vydání:	2022
Předmět:	Pure mathematics geography geography.geographical_feature_category Mathematics::Operator Algebras Mathematics::Category Theory Product (mathematics) Bundle Fell Representation (systemics) Covariant transformation Mathematics::Symplectic Geometry Analysis Mathematics
Zdroj:	Journal of Functional Analysis. 282:109268
ISSN:	0022-1236
DOI:	10.1016/j.jfa.2021.109268
Popis:	We define the Zappa-Sz\'{e}p product of a Fell bundle by a groupoid, which turns out to be a Fell bundle over the Zappa-Sz\'{e}p product of the underlying groupoids. Under certain assumptions, every Fell bundle over the Zappa-Sz\'{e}p product of groupoids arises in this manner. We then study the representation associated with the Zappa-Sz\'{e}p product Fell bundle and show its relation to covariant representations. Finally, we study the associated universal C*-algebra, which turns out to be a C*-blend, generalizing an earlier result about the Zappa-Sz\'{e}p product of groupoid C*-algebras. In the case of discrete groups, the universal C*-algebra of a Fell bundle embeds injectively inside the universal C*-algebra of the Zappa-Sz\'{e}p product Fell bundle.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::5ff00ad9519003eaf6c84399b27242c9 https://doi.org/10.1016/j.jfa.2021.109268 Zobrazit plný text záznamu Full Text from ScienceDirect