K-theory of pseudodifferential operators with semi-periodic symbols on a cylinder / K-Teoria de operadores pseudodiferenciais com símbolos semi-periódicos no cilindro
AUTOR(ES)
Patricia Hess
DATA DE PUBLICAÇÃO
2008
RESUMO
Let A denote the C*-algebra of bounded operators on L^2(RxS^1) generated by: all multiplications a(M) by functions a in C^{\infty}(S^1), all multiplications b(M) by functions b in C([-\infty, + \infty]), all multiplications by 2\pi-periodic continuous functions, \Lambda = (1-\Delta_{RxS^1)^{-1/2}, where \Delta_{RxS^1} is the Laplacian on RxS^1, and \partial_t \Lambda, \partial_x \Lambda, for t in R and x in S^1. We compute the K-theory of A and A/K(L^2(RxS^1)), where K(L^2(RxS^1))$ is the ideal of compact operators on L^2(RxS^1).
ASSUNTO(S)
pseudodifferential operators operadores pseudodiferenciais k-theory k-teoria
