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Full-Text Articles in Physical Sciences and Mathematics
Morse Theory For C*-Algebras: A Geometric Interpretation Of Some Noncommutative Manifolds, Vida Milani, Ali Asghar Rezaei, Seyed M.H. Mansourbeigi
Morse Theory For C*-Algebras: A Geometric Interpretation Of Some Noncommutative Manifolds, Vida Milani, Ali Asghar Rezaei, Seyed M.H. Mansourbeigi
Computer Science Student Research
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.