Quantitative K-theory and the Künneth formula for operator algebras

2016/08/09 by Oyono-Oyono, Hervé, Yu, Guoliang · 1 citation
#FOS: Mathematics #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.1608.02725

Abstract

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.

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