Functional Analysis and Applications Seminar 

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.