Renault's $j$-map for Fell bundle $C^{\ast }$-algebras

Anna Duwenig, Dana P. Williams, Joel Zimmerman

If $p:\mathcal{B}\to G$ is a Fell bundle over an étale groupoid, then we show that there is an norm reducing injective linear map $j \colon C^*_r(G;\mathcal B)\to Γ_{0}(G;\ma…