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Physical Sciences and Mathematics Commons

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Utah State University

Computer Science Student Research

Series

2011

Articles 1 - 1 of 1

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 Oct 2011

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.