A Remark on Invariants for C*-Algebras of Stable Rank One

被引:23
作者
Ciuperca, Alin [1 ]
Elliott, George A. [1 ]
机构
[1] Univ Toronto, Dept Math, Toronto, ON M5S 2E4, Canada
基金
加拿大自然科学与工程研究理事会;
关键词
D O I
10.1093/imrn/rnm158
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
It is shown that, for a C*-algebra of stable rank one (i.e. in which the invertible elements are dense), two well-known invariants, the Cuntz semigroup and the Thomsen semigroup, contain the same information. More precisely, these two invariants, viewed appropriately, determine each other in a natural way.
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页数:33
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