20/10/2006, 15:00 — 16:00 — Room P3.10, Mathematics Building
Lina Oliveira, Instituto Superior Técnico, U.T. Lisboa
A non-commutative notion of topology
The Gelfand-Naimark theorem establishes that any commutative
-algebra is isometrically -isomorphic to a certain
space of continuous functions over a locally compact topological
space. In a way, the -algebra might be seen as a
translation of the topology of the space. It is the aim of this
talk to give an overview of how the generalization of these ideas
to non-commutative -algebras has lead to a non-commutative
notion of topology. A résumé of some recent results and of on going
research will be presented.
