Locally AH-Algebras

Huaxin Lin, University of Oregon, Eugene, OR, USA.The Research Center for Operator Algebras, East China Normal University, Shanghai, China.

• IntroductionPreliminariesDefinition of ${\mathcal C}_g$ $C^\ast$-algebras in ${\mathcal C}_g$Regularity of $C^\ast$-algebras in ${\mathcal C}_1$TracesThe unitary group ${\mathcal Z}$-stabilityGeneral existence theoremsThe uniqueness statement and the existence theorem for Bott mapThe basic homotopy lemmaThe proof of the uniqueness theorem 10.4The reductionAppendixBibliography