Events for 07/21/2023 from all calendars

Workshop in Analysis and Probability Seminar

Time: 3:00PM - 4:00PM

Location: BLOC 302

Speaker: Arindam Sutradhar, University of Louisiana at Lafayette

Title: Essential Codimension and Lifting Projections

Abstract: We consider extensions of Brown–Douglas–Fillmore’s notion of essential codimension to pairs of projections in the multiplier algebra of a separable stable C*-algebra B whose difference lies in the canonical ideal B. We investigate both a concrete definition akin to the original one given by Brown–Douglas–Fillmore, as well as a KK-theoretic definition, and show that they coincide. We explore the properties as well as an axiomatization of essential codimension. Using essential codimension, we establish K theoretic necessary and sufficient conditions for projection lifting from certain corona algebras (whose canonical ideals need not have real rank zero).