22/10/2007, 15:30 — 16:00 — Room P3.10, Mathematics Building
Amélia Bastos, Instituto Superior Técnico, U.T. Lisboa
An invertibility criterion for a non local C* algebra of functional
operators
A generalization of the local trajectory method for C* algebras
associated with C* dynamical systems based on the notion of
spectral measures is presented. This generalization allows to
establish invertibility and Fredholm criteria for new classes of C*
algebras with shifts. The C* algebra considered in this talk is a
non local algebra generated by multiplication operators by slowly
oscillating and piecewise continuous functions and by the range of
unitary representation of an amenable group of diffeomorphisms with
any non empty set of common fixed points. The talk is related to a
joint work with C. Fernandes and Y. Karlovich.