Noncommutative Geometry Seminar

Date: October 23, 2019

Time: 2:00PM - 3:00PM

Location: BLOC 628

Speaker: Rufus Willett, University of Hawai'i

Title: Decompositions and K-theory

Abstract: We introduce a notion of 'local decomposability' for a C*-algebra, inspired by the theory of nuclear dimension (due to Winter and Zacharias) and of dynamical complexity (due to Guentner, Yu and the speaker). We derive the existence of a sort-of controlled Mayer-Vietoris sequence in this setting, inspired by work of Oyono-Oyono and Yu in controlled K-theory (although not using that language), and give applications to Baum-Connes theory and to the Künneth formula.