Morse theory for C*-algebras: a geometric interpretation of some noncommutative manifolds
[EN] 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...
| Autores: | , , |
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| Formato: | artículo |
| Fecha de publicación: | 2011 |
| País: | España |
| Recursos: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/87096 |
| Acesso em linha: | https://riunet.upv.es/handle/10251/87096 |
| Access Level: | acceso abierto |
| Palavra-chave: | C*-algebra Critical points CW complexes Homotopy equivalence Homotopy type Morse function Noncommutative CW complex Poset Pseudo-homotopy type star representation Simplicial complex |
| Resumo: | [EN] 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. |
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