The UCT problem for nuclear $C^\ast$-algebras

Autor:	Brown, Nathanial P., Browne, Sarah L., Willett, Rufus, Wu, Jianchao
Rok vydání:	2020
Předmět:	Mathematics - Operator Algebras Mathematics - K-Theory and Homology
Druh dokumentu:	Working Paper
Popis:	In recent years, a large class of nuclear $C^\ast$-algebras have been classified, modulo an assumption on the Universal Coefficient Theorem (UCT). We think this assumption is redundant and propose a strategy for proving it. Indeed, following the original proof of the classification theorem, we propose bridging the gap between reduction theorems and examples. While many such bridges are possible, various approximate ideal structures appear quite promising. Comment: 13 pages; to appear in the Rocky Mountain Journal of Mathematics
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2005.03184 Zobrazit plný text záznamu View this record from Arxiv