Quantitative $K$-theory for Banach algebras
K-Theory and Homology
2018-03-30 v2 Operator Algebras
Abstract
Quantitative (or controlled) -theory for -algebras was used by Guoliang Yu in his work on the Novikov conjecture, and later developed more formally by Yu together with Herv\'e Oyono-Oyono. In this paper, we extend their work by developing a framework of quantitative -theory for the class of algebras of bounded linear operators on subquotients (i.e., subspaces of quotients) of spaces. We also prove the existence of a controlled Mayer-Vietoris sequence in this framework.
Cite
@article{arxiv.1611.08790,
title = {Quantitative $K$-theory for Banach algebras},
author = {Yeong Chyuan Chung},
journal= {arXiv preprint arXiv:1611.08790},
year = {2018}
}
Comments
58 pages, corrections made based on referee's report, accepted for publication in Journal of Functional Analysis