Professor • Ph.D. Harvard University, 1982

Math 227

Operator algebras, K-theory, wavelets

I am interested in the broad area of operator algebras, including K-theory and cohomology and their relations to discrete groups and C*-algebraic dynamical systems. Most recently I have been studying the connection between wavelet and frame theory, operator algebras, and harmonic analysis.

- Construction of Parseval wavelets from redundant filter systems, (with L. Baggett, P. Jorgensen, and K. Merrill)
*J. Math. Phys.***46,**083502 (2005). - Projective multiresolution analyses for L^2(R^2), (with M.A. Rieffel).
*J. Fourier Anal. Appl.***10**(2004), 439-464. - The cohomology of the integer Heisenberg group, (with S.T. Lee).
*J. of Algebra.***184**230-250 (1996). - The primitive ideal space of two-step nilpotent group C*-algebras, (with L. Baggett)
*J. Funct. Anal.***124,**389-426 (1994). - Twisted crossed products of C*-algebras, (with I. Raeburn).
*Math. Proc. Camb. Phil. Soc.***106**, 293-311 (1989).