TOEPLITZ ALGEBRAS ASSOCIATED TO ISOMETRIC FLOWS

摘要

Let M be a compact Riemannian manifold, and let Φ = {φ_t} be a smooth oneparameter group of isometries of M. The group Φ is called an isometric flow on M. In this paper, we associate a Toeplitz C~*-algebra T(Φ) to an isometric flow Φ on M, and begin to study how the C~*-algebraic properties of T(Φ) are related to the geometric and topological properties of Φ.