Cartan subalgebras, automorphisms and the UCT problem Selçuk Barlak This talk deals with the connection between the UCT problem for separable, nuclear C*-algebras and Cartan subalgebras, that is, MASAs that admit faithful conditional expectations and whose normalizers generate the ambient C*-algebras. We present a characterization, in terms of Cartan subalgebras, of the UCT for fixed point alge...

Let $\mathcal{W}$ be the wandering subspace corresponding to an invariant of Bergman shift. By identifying space with $H^2(\mathbb{D}^2)\ominus[z-w]$, we give a necessary and sufficient condition for closed $H^2(\mathbb{D}^2)\ominus[z-w]$ subspace. Furthermore, present functional characterization coefficient function in Finally, define operator from one another, get decomposition theorem such o...

We give a computational interpretation to an abstract formulation of Krull's theorem, by analysing its classical proof based on Zorn's lemma. Our approach is inspired theory, and uses form update recursion replace the existence maximal ideals. main result allows us derive, in uniform way, algorithms which compute witnesses for existential theorems countable algebra. number concrete examples thi...