Applied General Topology
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The approach we present is a modification of the Morse theory for unital C*-algebras. We provide tools for the geometric interpretation of noncommutative CW complexes. Some examples are given to illustrate these geometric information. The main object of this work is a classification of unital C*-algebras by noncommutative CW complexes and the modified Morse functions on them.
"Morse Theory for C*-Algebras: A Geometric interpretation of some Noncommutative Manifolds": Vida Milani, Seyed M. H. Mansourbeigi and Ali Asghar Rezaei , Applied General Topology, vol 12,No. 2, (2011).