Quantitative K-theory and the Künneth formula for operator algebras Academic Article uri icon

abstract

  • © 2019 Elsevier Inc. In this paper, we apply quantitative operator K-theory to develop an algorithm for computing K-theory for the class of filtered C⁎-algebras with asymptotic finite nuclear decomposition. As a consequence, we prove the Künneth formula for C⁎-algebras in this class. Our main technical tool is a quantitative Mayer–Vietoris sequence for K-theory of filtered C⁎-algebras.

author list (cited authors)

  • Oyono-Oyono, H., & Yu, G.

citation count

  • 4

publication date

  • October 2019