摘要
In this paper, we show that, without involving the C~*-bundle theory, elementary differ- ential topology can do the classification of homogeneous C~*-crossed product C(X)×α Z, where X is a compact differentiable manifold of low dimension and α is a diffeomorphism of X. The motivation of this work is the Shultz’s theorem which states that a C~*-algebra can be identified with its pure state space carrying w~*-topology and certain geometric structure.
In this paper, we show that, without involving the C~*-bundle theory, elementary differ- ential topology can do the classification of homogeneous C~*-crossed product C(X)×α Z, where X is a compact differentiable manifold of low dimension and α is a diffeomorphism of X. The motivation of this work is the Shultz’s theorem which states that a C~*-algebra can be identified with its pure state space carrying w~*-topology and certain geometric structure.
