Crossed products by finite group actions with certain tracial Rokhlin property |
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Authors: | Qingzhai Fan Xiaochun Fang |
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Affiliation: | Department of Mathematics, Shanghai Maritime University, Shanghai 201306, China;Department of Mathematics, Tongji University, Shanghai 200092, China |
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Abstract: | We introduce a special tracial Rokhlin property for unital C*-algebras. Let A be a unital tracial rank zero C*-algebra (or tracial rank no more than one C*-algebra). Suppose that α:G → Aut(A) is an action of a finite group G on A, which has this special tracial Rokhlin property, and suppose that A is a α-simple C*-algebra. Then, the crossed product C*-algebra C*(G, A,α) has tracia rank zero (or has tracial rank no more than one). In fact, we get a more general results. |
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Keywords: | Rokhlin property 46L35 46L80 46L05 |
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