Morse theory for C*-algebras: a geometric interpretation of some noncommutative manifolds

• Milani, Vida ^[1] ; Rezaei, Ali Asghar ^[2] ; Mansourbeigi, Seyed M.H. ^[3]
  1. [1] Shahid Beheshti University of Medical Sciences

     Shahid Beheshti University of Medical Sciences

     Irán

     
  2. [2] hahid Beheshti University
  3. [3] Polytechnic University

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• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 12, Nº. 2, 2011, págs. 175-185
• Idioma: inglés
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• Resumen

  • 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.