The Rank Ratio Function and the Radius of Comparison Function

Speaker: M. Ali Asadi-Vasfi (University of Toronto)

Time: Friday, May 23, 10:00-11:00 am
Zoom Meeting ID: 838 293 7191(Passcode: SIMIS)
Location: Room 1310, SIMIS

Abstract: In this talk, for any given Cuntz semigroup, we introduce an associated function, called the Rank Ratio Function. This function plays a very important role in computing the relative radii of comparison of Cuntz semigroups. Time allowing, we will discuss both the C^-algebraic and algebraic aspects of the relative radius of comparison, and introduce another function called the Radius of Comparison Function. This function provides a method for constructing non-classifiable C^-algebras with distinct relative radii of comparison.