Quantitative K-theory and the K{\"u}nneth formula for operator algebras
Operator Algebras
2016-09-14 v2
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 K{\"u}nneth formula for C *-algebras in this class. Our main technical tool is a quantitative Mayer-Vietoris sequence for K-theory of filtered C *-algebras.
Keywords
Cite
@article{arxiv.1608.02725,
title = {Quantitative K-theory and the K{\"u}nneth formula for operator algebras},
author = {Hervé Oyono-Oyono and Guoliang Yu},
journal= {arXiv preprint arXiv:1608.02725},
year = {2016}
}
Comments
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