- January 11, 2013, Friday - 14h30 (Room P
3.10):
Yuri Karlovich
(Universidad Autónoma del Estado de Morelos, Cuernavaca,
México)
" C*-algebras
of singular integral operators with shifts admitting distinct fixed
points "
Abstract. Fredholm
symbol calculi for the C*-algebras B of
singular
integral operators with piecewise slowly oscillating coefficients
extended by groups of unitary shift operators are constructed. The
groups of unitary shift operators are associated with discrete amenable
groups of piecewise smooth homeomorphisms that act topologically freely
on the
unit circle and admit distinct fixed points for different shifts. As a
result, faithful representations of the quotient C*-algebras B/K, where K is the
ideal of compact
operators, on suitable Hilbert spaces are constructed by applying the
local-trajectory method,
spectral measures and a lifting theorem, and Fredholm criteria for the
operators B in B are
established.
The talk is based on a joint work with M. A. Bastos and C. A.
Fernandes.
Past Seminars
2012/13
2011/12
2010/11
2009/10
2008/09
2007/08
2006/07
2005/06
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2000/01
1999/2000
1998/99
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1996/97
1995/96
Seminars take place in
Lisbon, I.S.T. -
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