O caráter de Chern-Connes para C*-sistemas dinâmicos calculado em algumas álgebras de operadores pseudodiferenciais / The C*-dynamical system Chern-Connes character computed in some pseudodifferential operators algebras
AUTOR(ES)
David Pires Dias
DATA DE PUBLICAÇÃO
2008
RESUMO
Given a C$^*$-dynamical system $(A, G, \alpha)$ one defines a homomorphism, called the Chern-Connes character, that take an element in $K_0(A) \oplus K_1(A)$, the K-theory groups of the C$^*$-algebra $A$, and maps it into $H_{\mathbb}^*(G)$, the real deRham cohomology ring of $G$. We explictly compute this homomorphism for the examples $(\overline{\Psi_^0(S^1)}, S^1, \alpha)$ and $(\overline{\Psi_^0(S^2)}, SO(3), \alpha)$, where $\overline{\Psi_^0(M)}$ denotes the C$^*$-álgebra gene\-rated by the classical pseudodifferential operators of zero order in the manifold $M$ and $\alpha$ the action of conjugation by the regular representation (translations).
ASSUNTO(S)
noncommutative geometry geometria não-comutativa chern-connes character c*-algebras generated by pseudodifferential operators. caráter de chern-connes c*-álgebras geradas por operadores pseudodiferenciais.
