Seminário Análise Funcional e Aplicações 

10/01/2014, 15:00 — 16:00 — Sala P3.10, Pavilhão de Matemática
Yuri Karlovich, Universidad Autónoma del Estado de Morelos, Cuernavaca, México

\(C^\ast\)-algebras of two-dimensional singular integral operators with solvable groups of shifts

Fredholm symbol calculi for the \(C^\ast\)-algebras generated by the \(C^\ast\)-algebra of two-dimensional singular integral operators with continuous coefficients on a bounded closed simply connected plane domain with Liapunov boundary and by unitary shift operators associated with discrete solvable groups being semidirect products of commutative groups of conformal mappings (elliptic, hyperbolic or parabolic) and cyclic groups generated by reflections are constructed. As a result, we establish Fredholm criteria for the operators in considered algebras. The talk is based on a joint work with V. Mozel.