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- W2893746101 abstract "In this paper we use the notion of operator-valued symbol in order to compute the index of Toeplitz operators on compact Lie groups. Our approach combines the Connes index theorem and the infinite-dimensional operator-valued symbolic calculus of Ruzhansky-Turunen. We also give applications to the index of Toeplitz operators on simply connected closed $3$-manifolds $mathbb{M}simeq mathbb{S}^3simeq textnormal{SU}(2) ,$ by using, as a fundamental tool, the Poincare theorem (see Perelman [31,32,33,34])" @default.
- W2893746101 created "2018-10-05" @default.
- W2893746101 creator A5080194249 @default.
- W2893746101 date "2018-09-27" @default.
- W2893746101 modified "2023-09-27" @default.
- W2893746101 title "The index of Toeplitz operators on compact Lie groups and simply connected closed 3-manifolds" @default.
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- W2893746101 hasPublicationYear "2018" @default.
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