C ~*-代数的莫尔斯理论：某些非交换流形的几何解释
Morse Theory for C*-Algebras: A Geometric Interpretation of Some Noncommutative Manifolds
摘要：
我们提出的方法是一个修改的莫尔斯理论的单位C*-代数。我们提供了工具的非交换CW复杂的几何解释。[2]、[7]和[14]中介绍并研究了这些对象。给出了一些实例来说明这些几何信息在实际中的应用。利用非交换CW复形和其上的修正Morse函数对有单位元的C*-代数进行了分类。
英文摘要：
The approach we present is a modification of the Morse theory for unital C*-algebras. We provide tools for the geometric interpretation of noncommutative CW complexes. These objects were introduced and studied in [2],[7] and [14]. Some examples to illustrate these geometric information in practice are given. A classification of unital C*-algebras by noncommutative CW complexes and the modified Morse functions on them is the main object of this work.
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