My area of expertise is in Operator Algebras, in particular in the type of Algebras of Operators known as von Neumann algebras, C*-algebras and L^p operator algebras. Recently, my work has emphasized the relationship between harmonic analysis, functional analysis, wavelets and operator algebras. I am interested in noncommutative geometry, specifically in those geometries arising from special triples on twisted on twisted nilpotent discrete group C*-algebras and L^p operator algebras arising from length functions. I also am interested on noncommutative quantum metric spaces.
keywords
Functional and Harmonic Analysis, C*-algebras, Wavelet and Frame Theory
K-theory for the integer Heisenberg groups.
K-Theory: interdisciplinary journal for the development, application and influence of K-theory in the mathematical sciences.
201-227.
1999