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| Stable Rank One and Real Rank Zero for Crossed Products by Finite Group Actions with the Tracial Rokhlin Property |
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Citation： |
Qingzhai FAN,Xiaochun FANG.Stable Rank One and Real Rank Zero for Crossed Products by Finite Group Actions with the Tracial Rokhlin Property[J].Chinese Annals of Mathematics B,2009,30(2):179~186 |
| Page view： 1688
Net amount： 1166 |
Authors： |
Qingzhai FAN; Xiaochun FANG; |
Foundation： |
the National Natural Science Foundation of China (No. 10771161). |
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| Abstract： |
The authors prove that the crossed product of an infinite dimensional simple
separable unital C*-algebra with stable rank one by an action of a finite group with the
tracial Rokhlin property has again stable rank one. It is also proved that the crossed
product of an infinite dimensional simple separable unital C -algebra with real rank zero
by an action of a finite group with the tracial Rokhlin property has again real rank zero. |
Keywords： |
C*-algebra, Stable rank one, Real rank zero |
Classification： |
46L05, 46L80, 46L35 |
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