Toeplitz operators on CR manifolds and group actions

2021/08/25 by Andrea Galasso, Galasso, Andrea, Chin-Yu Hsiao +1 · 1 citation
Mathematics · #Holomorphic and Operator Theory #Advanced Topics in Algebra #Advanced Operator Algebra Research

paper · pdf · doi:10.48550/arxiv.2108.11061

Abstract

Let (X, T^1,0X) be a connected orientable compact CR manifold of dimension 2n+1, n ≥ 1 with non-degenerate Levi curvature. In this paper, we study the algebra of Toeplitz operators on X and we establish star product for some class of symbols on X. In the second part of this paper, we consider a compact locally free Lie group G acting on X and we investigate the associated algebra of G-invariant Toeplitz operators.

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• Spectral asymptotics of semi-classical Toeplitz operators on Levi non-degenerate CR manifolds

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