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22nd Conference in Operator Theory
July 3-8, 2008
West University
Timisoara, Romania

Organizers
Institute of Mathematics of the Romanian Academy and West University in Timisoara

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An Invertibility symbol for an operator C*-algebra with shifts having periodic points
by
Cláudio Fernandes
Centro de Análise Funcional e Aplicações
Coauthors: M. A. Bastos and Yu. I. Karlovich

An invertibility symbol is established for the C*-algebra of functional operators on the space L2(\T) generated by the multiplication operators by piecewise slowly oscillating functions and by a group of unitary operators associated to an amenable discrete group G of orientation-preserving homeomorphisms of the unit circle \T such that all g ∈ G\{e} have piecewise continuous derivatives, the same nonempty set L of periodic points, and there is a point t ∈ L with finite G-orbit.

Date received: June 9, 2008


Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cawh-76.