Hongliang Yao, HU Shanwen
Abstract
In this paper, we introduce a class of C-algebras which have tracially real rank zero. We show that if A is a unital C-algebra with tracial real rank zero and B is a AF-algebra, then A B has tracial real rank zero. If a unital simple C-algebra has tracially real rank zero, then it has real rank zero,
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In this paper, we introduce a class of C-algebras which have tracially real rank zero. We show that if A is a unital C-algebra with tracial real rank zero and B is a AF-algebra, then A B has tracial real rank zero. If a unital simple C-algebra has tracially real rank zero, then it has real rank zero,
Key concepts: Zero (linguistics), Rank (graph theory), Mathematics, Unital, Simple (philosophy), Class (philosophy), Pure mathematics, Combinatorics