Let 𝒜 denote the C*-algebra of bounded operators on L2(ℝ × 𝕊1) generated by: all multiplications a(M) by functions a ⋲ C∞(𝕊1), all multiplications b(M) by functions b ⋲ C([−∞,+∞]), all multiplications by 2π-periodic continuous functions, Λ = (1 − Δℝ×𝕊1 )−1/2, where Δℝ×𝕊1 is the Laplacian operator on L2(ℝ × 𝕊1), and ϑtΛ, ϑxΛ, for t ⋲ ℝ and x⋲ 𝕊1. We compute the K-theory of 𝒜 and of its quotient by the ideal of compact operators.
@article{1443,
title = {K-Theory of an Algebra of Pseudodifferential Operators on a Noncompact Manifold},
journal = {CUBO, A Mathematical Journal},
volume = {11},
year = {2009},
language = {en},
url = {http://dml.mathdoc.fr/item/1443}
}
Hess, Patrícia; Melo, Severino T. K-Theory of an Algebra of Pseudodifferential Operators on a Noncompact Manifold. CUBO, A Mathematical Journal, Tome 11 (2009) . http://gdmltest.u-ga.fr/item/1443/