Lisa Marquand (NYU) TBD Sponsored by the Meyer Fund
Thu, Nov. 6 2:30pm (MATH 3…
Functional Analysis
James Woodcock (CU Boulder)
X
Minimal homeomorphisms of topological spaces provide a source of simple C*-algebras whose structure and K-theory can be understood through dynamical systems. I will present results on the existence of minimal homeomorphisms of flat manifolds with positive first Betti number. When the flat manifold has a spin^c structure we will show that the resulting cross product satisfies Poincare Duality for C*-algebras. Finally, I will describe ongoing work toward constructing explicit KK-cycle representatives in the presence of minimal flows, in analogy with the classical case of irrational rotation algebras.
Flat manifolds, C*-algebras, and duality