Stable rank and real rank of graph C∗-algebras
نویسندگان
چکیده
منابع مشابه
Stable Rank and Real Rank of Graph C ∗ - Algebras
For a row finite directed graph E, Kumjian, Pask, and Rae-burn proved that there exists a universal C *-algebra C * (E) generated by a Cuntz-Krieger E-family. In this paper we consider two density problems of invertible elements in graph C *-algebras C * (E), and it is proved that C * (E) has stable rank one, that is, the set of all invertible elements is dense in C * (E) (or in its unitization...
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Building on recent work of Robertson and Steger, we associate a C∗–algebra to a combinatorial object which may be thought of as a higher rank graph. This C∗–algebra is shown to be isomorphic to that of the associated path groupoid. Various results in this paper give sufficient conditions on the higher rank graph for the associated C∗–algebra to be: simple, purely infinite and AF. Results concer...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 2001
ISSN: 0030-8730
DOI: 10.2140/pjm.2001.200.331