- January 10, 2014, Friday - 15h (Room P
3.10):
Yuri Karlovich
(Universidad Autónoma del Estado de Morelos, Cuernavaca,
México)
"C*-algebras
of two-dimensional singular integral operators with solvable groups of
shifts"
Abstract. Fredholm
symbol calculi for the C*-algebras generated by the C*-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.
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