Algebra Seminar 

26/01/2010, 14:00 — 15:00 — Room P4.35, Mathematics Building
Rachid el Harti, Hassan I University, Morocco

Projective limits of C*-algebras

The underlying C*-subalgebra $A_b$ of a projective limit algebra $A$ is regarded as the non-commutative version of the Stone-Cech compactification, and the functor $A\to A_b$ from topological *-algebras to C*-algebras as a coreflector. The C*-algebra topology can be described by two projective structures: the "trivial" and "maximal" ones. Besides the necessary background, I aim to describe another non-trivial structure for the group algebra C*($F_n$) associated to the free group $F_n$ and three for C*($F_{\mathrm{\infty }}$). For these we need a new characterisation of projective limits of C*-algebras. Joint work with Paulo Pinto.