## 數學專家報告——2020年算子代數系列學術報告預告（三）

1、報告題目：量子關聯與生物醫學

報告人：侯晉川教授（太原理工大學）

2、 報告題目： Subdiagonal algebras with   Beurling type invariant subspaces

Let $\mathfrak A$ be a maximal subdiagonal algebra in a $\sigma$-finite von Neumann algebra $\mathcal M$. If every right invariant subspace of $\mathfrak A$ in the non-commutative Hardy space $H^2$ is of Beurling type, then we say  $\mathfrak A$  is of  type 1.  We determine   generators of these algebras and consider  a Riesz type factorization theorem for the  non-commutative $H^1$ space. We show that the right analytic Toeplitz algebra on the non-commutative Hardy space $H^p$ associated with  a type 1 subdiagonal algebra with multiplicity 1 is hereditary reflexive.  Moreover, if  a von Neumann algebra is finite, then every subdiagonal algebra of type 1 in it is finite.

3 報告題目： Higher index problems associated with coarse geometry and Banach space geometry

4、報告題目： Asymptotic continuous orbit equivalence for expensive systems