3 problems

Coaction duality conjectures. Every coaction satisfies $E$-crossed-product duality for some $E$, and the dual coaction on every $E$-crossed product $B\rtimes_{\alpha,E}G$ satisfies…

Let $G\curvearrowright_{\alpha}(X,\mathcal{R})$ be an automorphism system. The canonical cocycle induces a coaction $\delta_{\alpha}$ on $C_r^*(\mathcal{R}\rtimes_{\alpha}G)$, and…

Gauge-coaction normality conjecture. Every gauge coaction on a representation of $\Lambda$ is normal. Consequently, the other results in the relevant section should require only th…