O carater de Chern-Connes para C$^*$-sistemas dinamicos calculado em algumas algebras de operadores pseudodiferenciais
| dc.creator | Dias, David P. | |
| dc.date | 2008-08-04 | |
| dc.date.accessioned | 2026-07-07T09:54:41Z | |
| dc.date.available | 2026-07-07T09:54:41Z | |
| dc.description | Given a C$^*$-dynamical system $(A, G, α)$ 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 $H_{\mathbb{R}}^*(G)$, the real deRham cohomology ring of $G$. We explictly compute this homomorphism for the examples $(\overline{Ψ_{cl}^0(S^1)}, S^1, α)$ and $(\overline{Ψ_{cl}^0(S^2)}, SO(3), α)$, where $\overline{Ψ_{cl}^0(M)}$ denotes the C$^*$-algebra generated by the classical pseudodifferential operators of zero order in the manifold $M$ and $α$ the action of conjugation by the regular representation (translations). | |
| dc.description | This is a PhD thesis in portuguese supervised by Severino T. Melo | |
| dc.identifier | https://arxiv.org/abs/0808.0512 | |
| dc.identifier | http://arxiv.org/abs/0808.0512 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/166409 | |
| dc.subject | Operator Algebras | |
| dc.subject | K-Theory and Homology | |
| dc.title | O carater de Chern-Connes para C$^*$-sistemas dinamicos calculado em algumas algebras de operadores pseudodiferenciais | |
| dc.type | text |