Geodesic
Cofibrations in the Category of Noncommutative CW Complexes
Vida Milani1 ; Seyed M. H. Mansourbeigi2 ; Ali-Asghar Rezaei3 ; Vida Milani ; Seyed M. H. Mansourbeigi ; Ali-Asghar Rezaei
1Shahid Beheshti University
2Department of Electrical Engineering, Polytechnic University, Long Island, New York, USA
3Department of Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran,
Acta mathematica Universitatis Comenianae, Tome 85 (2016) no. 1, pp. 29-42 
Vida Milani; Seyed M. H. Mansourbeigi; Ali-Asghar Rezaei; Vida Milani; Seyed M. H. Mansourbeigi; Ali-Asghar Rezaei. Cofibrations in the Category of Noncommutative CW Complexes. Acta mathematica Universitatis Comenianae, Tome 85 (2016) no. 1, pp. 29-42. http://geodesic.mathdoc.fr/item/AMUC_2016_85_1_a3/
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     title = { Cofibrations in the {Category} of {Noncommutative} {CW} {Complexes}},
     journal = {Acta mathematica Universitatis Comenianae},
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     url = {http://geodesic.mathdoc.fr/item/AMUC_2016_85_1_a3/}
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Voir la notice de l'article provenant de la source Comenius University

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.