3 problems

Let $(A,L)$ satisfy the requirements of the strictly contractive dual iterated function system, let $\phi_0\in\mathcal{S}_{\mathrm{c}}(A)$, and let $\phi_\pi$ be the self-similar s…

Let $(A,L)$ satisfy the requirements of the strictly contractive dual iterated function system, and let $\phi_0\in\mathcal{S}_{\mathrm{c}}(A)$. Purity and compact-support conjectur…

Let $(A,L)$ be a locally semi-consistent extended complete spectral metric space, and let $f:A\to M(A)$ be a relatively proper $*$-homomorphism. Write $T$ for the induced map and l…