O teorema do índice para o círculo / The index theorem for the circle

AUTOR(ES)

Rodrigo Ferraz de Andrade

DATA DE PUBLICAÇÃO

2008

RESUMO

We study the comparison algebra on the circle, we describe the Gelfand space of its quotient by the compacts and we give a formula to compute the index of its Fredholm operators. After that, we generalize the result to the matrices with entries in the comparison algebra and give an application to differential opperators in the circle.

ASSUNTO(S)

espaço de gelfand gelfand space theory of the fredholm index comparison algebra Álgebra de comparação teoria do índice de fredholm

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