Speaker: Ron Douglas,
Institution: Texas A&M Univeristy,
Title: Quotient Hilbert modules and C*-Extensions
Date: Friday, Nov. 15
Time: 4-5pm
Place: Milner 317
Abstract:
In recent work, Misra and I characterize quotient Hilbert modules of
kernel Hilbert modules over domains in C^n by submodules determined by
hypersurfaces. Here, I consider the question of whether or not the
C*-algebras determined by the operators defined by the module actions
are related in any reasonable manner. We will focus on a few concrete
examples involving the Toeplitz algebra over the bidisk. Its ideal
structure is key to the conclusions we reach and our analysis rests on
an earlier approach to the study of this algebra by Roger Howe and me
introduced in the seventies.