Workshop on Dynamics and C*-Algebras
Classification is a central theme in mathematics. It has driven some of the most exciting developments of the 20th century, and is particularly prominent in the theory of operator algebras. The Elliott Program seeks classification of simple, separable and amenable C*-algebras by means of K-theoretical data. Following a remarkable success in the nineties, it has enjoyed a resurgence of late, owing to the discovery by M. Rørdam (and later, in a different direction, A. Toms) that K-theory alone, at least in its naive topological formulation, does not suffice for the classification of all simple separable amenable C*-algebras. Rather than being a detracting factor, this opens up two ways forward: restrict the class of C*-algebras considered, or enlarge the proposed invariant. Both of these courses have been pursued vigorously over the past three or four years, leading to several breakthroughs in Elliott’s program. An account of these goings-on can be found in the April 2008 issue of the Bulletin of the American Mathematical Society. We propose to gather the prime movers in Elliott’s program to tackle its most difficult remaining problems.