Asymptotic Equivariant Index of Toeplitz Operators on the Sphere

作者：de Monvel Louis Boutet^*

来源：Publications of the Research Institute for Mathematical Sciences, 2011, 47(1): 141-151.

DOI：10.2977/PRIMS/33

• Toeplitz operators
• index
• equivariant K-theory
• contact manifolds

We illustrate the equivariant asymptotic index described in [6, 8] in the case of spheres S(2N-1) C C(N), equipped with a unitary action of a compact group, for which this theory is more explicit. The article is mostly a review article, except for the last section (5) in which we describe conjecturally some very natural generators of the relevant K-theory for a torus action on a sphere, generalizing in our Toeplitz operator context the generators proposed by M. F. Atiyah [2] for the transversally elliptic pseudodifferential theory.

• 出版日期2011-3