Real rank and topological dimension of higher rank graph algebras
نویسندگان
چکیده
منابع مشابه
Real Rank and Topological Dimension of Higher Rank Graph Algebras
We study dimension theory for the C∗-algebras of row-finite k-graphs with no sources. We establish that strong aperiodicity—the higher-rank analogue of condition (K)—for a k-graph is necessary and sufficient for the associated C∗-algebra to have topological dimension zero. We prove that a purely infinite 2-graph algebra has real-rank zero if and only if it has topological dimension zero and sat...
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These are lecture notes of a course given by Alex Kumjian at the RMMC Summer School at the University of Wyoming, Laramie, June 1-5, 2015. Warning: little proofreading has been done.
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ژورنال
عنوان ژورنال: Indiana University Mathematics Journal
سال: 2017
ISSN: 0022-2518
DOI: 10.1512/iumj.2017.66.6212