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Vietnam Journal of Mathematics 38:3 (2010) 363-371  

Category of Noncommutative CW Complexes

Do Ngoc Diep

Abstract. We review the notion of noncommutative CW (NCCW) complexes, define noncommutative (NC) mapping cylinder and NC mapping cone, and prove a noncommutative Approximation Theorem. We also formulate and derive a long exact homotopy sequences associated with arbitrary morphisms.

2000 Mathematics Subject Classification: 46L87, 58B34, 58B32.

Keywords: Noncommutative geometry, C^*-algebra, noncommutative CW complex, noncommutative mapping cylinder, nonmommutative mapping cone.

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Published by Springer since January 2013