6 problems

Let $G$) be a connected, non-compact, semi-simple Lie group with finite center. Write … for the comparison map from continuous bounded cohomology to continuous cohomology. Dupont's…

Let $G$ be a connected simple Lie group and let $(X,\mu,Y)$ be an integrable transverse $G$-system with $\mu$ $G$-ergodic; let $(\mathcal{G},\nu)$ be its transverse measured groupo…

Isomorphism conjecture. This comparison map is an isomorphism in every degree $n$.

Let $G$ be a connected semisimple Lie group with finite center. Write $H^\bullet_{\mathrm{cb}}(G;\mathbb{R})$ for continuous bounded cohomology and…

Comparison-map conjecture. The comparison map between bounded continuous and continuous cohomology is an isomorphism. The result in the paper provides additional evidence for this…

Higher-degree comparison-map conjecture. The comparison map