Given a compact metric space and self-homeomorphism, one can construct the associated crossed product C*-algebra. There is a strong relationship between dynamical properties and C*-algebraic properties. For example, the system is minimal if and only if the crossed product algebra is simple. I will discuss minimal crossed products, their K-theory, K-homology, and Poincare duality. The talk will be an introduction aimed at graduate students.
Minimal crossed products and duality
Sep. 11, 2025 11:15pm (MATH …
Algebraic Geometry
Jon Kim
X
We will continue our talk from last week starting with analytic moduli and discussing the moduli space of M-quasipolarized and M-polarized K3 surfaces. If time permits, we will discuss one-parameter degenerations. These talks follow Alexeev and Engel's "Compact moduli of K3 surfaces" paper in 2023.
Minimal crossed products and duality