| 离散群上的Toeplitz算子代数的顺从性 |
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| 引用本文： | 许庆祥,马峰.离散群上的Toeplitz算子代数的顺从性[J].数学进展,2006,35(2):185-190. |
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| 作者姓名： | 许庆祥 马峰 |
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| 作者单位： | 上海师范大学数学系,上海,200234 |
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| 基金项目： | Foundation item: Supported by the NSFC(No. 10371051)
STFSHE and SNSF(No. 05ZR14094)
Shanghai Municipal Education Commission (No. 05DZ04). |
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| 摘 要： | 设(G,G )为一个拟格序群,H为G 的一个可传、定向子集．记GH=G .H-1, 令TGH为相应的Toeplitz算子代数．利用G 的等距协变表示刻画了(G,GH)的顺从性。当 G=G .G -1时,证明了(G,GH)为顺从当且仅当G为顺从．
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| 关 键 词： | Toeplitz算子代数 等距协变表示 顺从 |
| 文章编号： | 1000-0917（2006）02-0185-06 |
| 收稿时间： | 2004-05-24 |
| 修稿时间： | 2004年5月24日 |
Amenability of Toeplitz Algebras on Discrete Groups |
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| XU Qing-xiang,MA Feng.Amenability of Toeplitz Algebras on Discrete Groups[J].Advances in Mathematics,2006,35(2):185-190. |
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| Authors: | XU Qing-xiang MA Feng |
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| Abstract: | Let (G, G ) be a quasi-lattice ordered group, H a directed and hereditary subset of G . Put GH = G H-1, and denote by TGH the corresponding Toeplitz algebra. The amenability of (G, GH) is studied in terms of covariant isometric representations of G . When G = G G -1, it is proved that (G,GH) is amenable if and only if G is amenable. |
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| Keywords: | Toeplitz algebra covariant isometric representation amenability |
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