Open AccessCofibrations and Bicofibrations for C*-Algebras
Author(s) -
I. Pop,
Alina Tofan
Publication year - 2008
Publication title -
revista matemática complutense
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.093
H-Index - 24
eISSN - 1696-8220
pISSN - 1139-1138
DOI - 10.5209/rev_rema.2008.v21.n2.16413
Subject(s) - homotopy , mathematics , exact sequence , algebra over a field , sequence (biology) , pure mathematics , chemistry , biochemistry
The paper deals with the correlated concepts of cofibration and bicofibration in C*-algebra theory. We study cobrations of C*-algebras introduced by Claude Schochet in [9] (see also [7]). Cofibrations are characterized by means of the mapping cylinder C*-algebras. We also dene and analyse the notion of bicofibration for C*-algebras based on the topological model from [8] (see also [5]). As an application, an exact sequence of Cerin's homotopy groups [1] is obtained.The paper deals with the correlated concepts of cofibration and bicofibration in C -algebra theory. We study cofibrations of C -algebras introduced by Claude Schochet in [9] (see also [7]). Cofibrations are characterized by means of the mapping cylinder C -algebras. We also define and analyse the notion of bicofi bration for C -algebras based on the topological model from [8] (see also [5]). As an application, an exact sequence of Cerin's homotopy groups [1] is obtained