Research Articles
List of publications through MathSciNet
My research articles and preprints are available
for downloading here.
Research
Articles
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Research
My present research interests lie in the general area of Analysis and
Geometry on
Groups, but I often
cross the boundaries of other areas of mathematics.
I am particularly interested in the analysis of higher rank groups, and
their
actions on spaces of nonpositive curvature.
There are close connections with ergodic theory, geometric group theory,
algebraic topology and C*-algebraic K-theory.
Current projects include:
The structure of operator algebras associated with certain groups.
The groups in question act on trees, euclidean buildings and riemannian
symmetric spaces. The geometry of
these spaces is reflected in the analytic structure of the operator
algebras.
Classification of boundary actions of lattice subgroups of
real and p-adic Lie groups, and K-theory of the
corresponding crossed product C*-algebras. This work studies the
asymptotic structure of higher rank groups.
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