Twisted Topological Graph Algebras Are Twisted Groupoid C*-algebras
Twisted Topological Graph Algebras Are Twisted Groupoid C*-algebras
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扭曲拓扑图代数是扭曲群形 C* 代数
DOI：
10.7900/jot.2016jun23.2136
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发表时间：
2015
期刊：
影响因子：
--
通讯作者：
Hui Li
中科院分区：
文献类型：
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作者：
A. Kumjian;Hui Li
第二个作者证明了Katalina构造的拓扑图E的C ~*-代数可以被边空间E上的Hermitian线丛L扭曲。定义该代数的对应关系是作为L的紧支集连续截面的完备化而得到的。证明了所得到的C*-代数同构于扭群胚C*-代数，其中所述扭群胚是以Yeend边界路空间为单位空间的拓扑图的A-Deaconu群胚.
The second author showed how Katsura's construction of the C*-algebra of a topological graph E may be twisted by a Hermitian line bundle L over the edge space E. The correspondence defining the algebra is obtained as the completion of the compactly supported continuous sections of L. We prove that the resulting C*-algebra is isomorphic to a twisted groupoid C*-algebra where the underlying groupoid is the Renault-Deaconu groupoid of the topological graph with Yeend's boundary path space as its unit space.