Document Type
Article
Journal/Book Title/Conference
Acta Mathematica Universitatis Comenianae
Volume
85
Issue
1
Publisher
Elsevier
Publication Date
1-1-2016
First Page
29
Last Page
42
Abstract
Cofibration in the category of noncommutative CW complexes is defined. The C*-algebraic counterparts of topological mapping Cylinder and mapping cone are presented as examples of noncommutative CW complex cofibres. As a generalization, the concepts of noncommutative mapping cylindrical and conical telescope are introduced to provide more examples of NCCW complex cofibres. Their properties and K-theoretic behavior are also studied in detail. We will see that they carry the properties similar to the topological properties of their CW complex counterparts.
Recommended Citation
"Cofibrations in the Category of Noncommutative CW Complexes",Vida Milani, Seyed M.H. Mansourbeigi and Ali-Asghar Rezaei, Acta Mathematica Universitatis Comenianae, vol. 85 No.1 (2016).