9101496
Mathematical Sciences: C*-Algebras of Singular Integral Operators and Toeplitz Operators Associated with N-Densional Flows
DMS
MODERN ANALYSIS
07/01/1991
04/08/1992
Jingbo Xia
jxia@acsu.buffalo.edu
NY
SUNY at Buffalo
Continuing grant
Kevin F. Clancey
06/30/1993
43040
402 Crofts Hall
Buffalo
NY
142600000
7166452634
MPS
1262
Professor Xia will study the C*-algebras of random singular integral operators and Toeplitz operators associated with n- dimensional flows. He will analyze the ideal structure in these algebras and address questions such as their solvability. He will compute the K-groups of certain important sub-C*-algebras and their ideals with the goal of classifying these kinds of algebras. Professor Xia's project deals with C*-algebras. These algebras are families of Hilbert space operators each of which can be thought of as an infinite matrix of complex numbers. The algebras which Professor Xia will consider consist of operators which arise in more applied fields such as the study of partial differential equations.