On embeddings of full amalgamated free product C<IMG BORDER="0" SRC="/proc/2004-132-07/S0002-9939-04-07370-8/gif-title0/img1.gif" >-algebras期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

按检索

On embeddings of full amalgamated free product C-algebras

Authors:	Scott Armstrong Ken Dykema Ruy Exel Hanfeng Li

Institution:	Department of Mathematics, University of California, Berkeley, California 94720 ; Department of Mathematics, Texas A&M University, College Station, Texas 77843--3368 ; Departamento de Matematica, Universidade Federal de Santa Catarina, 88040-900 Florianopolis SC, Brazil ; Department of Mathematics, University of Toronto, Toronto ON M5S 3G3, Canada

Abstract:	We examine the question of when the -homomorphism $\lambda: A_D B\to \widetilde{A}_ {\widetilde{D}}\widetilde{B}$ of full amalgamated free product C-algebras, arising from compatible inclusions of C-algebras $A\subseteq\widetilde{A}$ , $B\subseteq{\widetilde B}$ and $D\subseteq\widetilde{D}$ , is an embedding. Results giving sufficient conditions for $\lambda$ to be injective, as well as classes of examples where $\lambda$ fails to be injective, are obtained. As an application, we give necessary and sufficient conditions for the full amalgamated free product of finite-dimensional C-algebras to be residually finite dimensional.

Keywords:

	点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息
	点击此处可从《Proceedings of the American Mathematical Society》下载免费的PDF全文