Classification of Simple Separable Amenable C*-Algebras - ICBS2024

Explore the recent classification theorem of C*-algebras in this hour-long conference talk from the International Conference on Banach Spaces 2024. Delve into the assertion that simple separable amenable C*-algebras, which are regular and satisfy the Universal Coefficient Theorem of KK-theory, are classified by the conventional Elliott invariant. Learn about the concept of regularity in C*-algebras, defined as the ability to absorb the Jiang-Su algebra tensorially. Examine Villadsen algebras, a significant class of C*-algebras that do not exhibit Jiang-Su absorption, extending beyond the regular class. Gain insights into the latest progress on the classification of Villadsen algebras, as presented by speaker Zhuang Niu.