2 problems

Non-triviality conjecture. The cyclic cohomology class $[\mathfrak{c}_\omega]$ and the associated Hochschild cohomology class $[\mathfrak{h}_\omega]$ are non-trivial. These classes…

Let $C^\alpha(S^1)$ denote the Hölder algebra of exponent $\alpha$, and let $z$ be the coordinate function on $S^1$. The class $[z\otimes z^{-1}]$ is considered in reduced cyclic h…