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Research Interests:

Operator algebras, K-theory, wavelets

Research:

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.Ìý Most recently I have been studying the connection between wavelet and frame theory, operator algebras, and harmonic analysis.

Select Publications:

• Construction of Parseval wavelets from redundant filter systems, (withÌý L. Baggett, P. Jorgensen, and K. Merrill) J. Math. Phys.Ìý 46, Ìý 083502Ìý (2005).
• Projective multiresolution analyses for L^2(R^2), (with M.A. Rieffel). J. Fourier Anal. Appl.Ìý 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, Ìý 389-426 (1994).
• Twisted crossed products of C*-algebras, (with I. Raeburn). Math. Proc. Camb. Phil. Soc.106, 293-311 (1989).