17/06/2011, 15:00 — 16:00 — Room P3.10, Mathematics Building
Cláudio Fernandes, Universidade Nova de Lisboa and CEAF
A C*-algebra of singular integral operators with shifts having
periodic points
A Fredholm symbol for a nonlocal operator C*-algebra \(B\) of
singular integral operators, with an amenable discrete group of
homeomorphisms having the same nonempty set of periodic points, is
obtained. Using the spectral measure associated with a general
isometric representation of \(B\) we will see how we can reduce the
study of the Fredholmness in \(B\) to the study of the Fredholmness
in a C*-algebra \(B_F\) of singular integral operators with a group
of homeomorphisms with fixed points.
This talk is based on a joint work with M. A. Bastos and Y.
Karlovich.