Analyticity of certain operator algebras
Professor Guoxing Ji吉國興)(College of Math. and Information Science Shaanxi Normal University 下午 3:00–4:00 鴻經館 107 室Abstract
Let be a finite von Neumann algebra on a complex Hilbert space . We consider some analytic properties of operator subalgebras of , maximal subdiagonal algebras and analytic operator algebra determined by a flow on by use of Tomita-Tadesaki theory in operator algebras. We will concern on the invariance under modular automorphism groups for subdiagonal algebras, noncommutative space, operator fractorization, relative invariant subspace lattices and algebraic commutants of analytic operator algebras.