In the paper we introduce the notion of a local group and define a Fell bundle over a local group and a *-representation of a local group into a C *-algebra. We show that with every partial representation of a group the local group is connected as well as the respective Fell bundle. Also we show that the Cuntz and the Cuntz-Toeplitz algebras are local group graded.
No takes yet. Share an insight, caveat, or question.
Grigoryan et al. (2019) studied this question.
Synapse has enriched one closely related paper. Consider it for comparative context: