O carater de Chern-Connes para C^*-sistemas dinamicos calculado em algumas algebras de operadores pseudodiferenciais

2008/08/04 by Dias, David P.
#FOS: Mathematics #K-Theory and Homology (math.KT) #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.0808.0512

Abstract

Given a C^*-dynamical system (A, G, α) one defines a homomorphism, called the Chern-Connes character, that take an element in K₀(A) ⊕ K₁(A), the K-theory groups of the C^*-algebra A, and maps it into H_ℝ^*(G), the real deRham cohomology ring of G. We explictly compute this homomorphism for the examples (Ψ_cl⁰(S¹), S¹, α) and (Ψ_cl⁰(S²), SO(3), α), where Ψ_cl⁰(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).

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