The National Science Foundation (NSF) awarded a $343,286 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) program to the University of Oregon. The three-year grant, starting on August 1, 2024, supports research on C*-algebras and dynamics beyond the Elliott classification program.
The key objectives are to investigate when simple C*-algebras, a type of mathematical object with applications in quantum mechanics, are isomorphic to their opposite algebras. The project aims to identify a simple separable nuclear C*-algebra that is not isomorphic to its opposite, which would fall outside the scope of the Elliott classification program. The research will also contribute to workforce development by training graduate and undergraduate students. The proposed approach involves computational work in rational homotopy theory, a new application of algebraic topology to C*-algebra theory.
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