绝缘体拓扑相的C ~*-代数方法
On the C*-algebraic approach to topological phases for insulators
摘要：
绝缘体的拓扑相的概念是基于哈密顿之间的同伦概念。因此，它取决于选择一个拓扑空间的哈密顿属于。我们主张这个空间应该是观测量的$C^*$ -代数。我们与绝缘体的对称性，可观察到的代数和分类的拓扑相位使用范代尔的制定$K$理论的分级真实结构。这是相关的，但不完全相同的Thiang最近的方法来分类拓扑相位的$K$ -集团在Karoubi的制定。
英文摘要：
The notion of a topological phase of an insulator is based on the concept of homotopy between Hamiltonians. It therefore depends on the choice of a topological space to which the Hamiltonians belong. We advocate that this space should be the $C^*$-algebra of observables. We relate the symmetries of insulators to graded real structures on the observable algebra and classify the topological phases using van Daele's formulation of $K$-theory. This is related but not identical to Thiang's recent approach to classify topological phases by $K$-groups in Karoubi's formulation.
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