| TOEPLITZ ALGEBRAS ON DISCRETE GROUPS AND THEIR NATURAL MORPHISMS |
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| 作者姓名： | J. LORCH XU Qingxiang |
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| 作者单位： | Department of |
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| 基金项目： | Project supported by the National Natural Science Foundation of China (No.10371051). |
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| 摘 要： | Let G be a discrete group, E1 and E2 be two subsets of G with E1(?)E2, and e ∈E2. Denote by TE1 and TE2 the associated Toeplitz algebras. In this paper, it is proved that the natural morphism γE2,E1 from TE1 to TE2 exists as a C*-morphism if and only if E2 is finitely covariant-lifted by E1 Based on this necessary and sufficient condition, some applications are made.
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| 关 键 词： | TOEPLITZ代数 自然数C^＊-摹式 有限共变式 充分必要条件 |
| 收稿时间： | 1/3/2020 12:00:00 AM |
| 修稿时间： | 4/4/2021 12:00:00 AM |
TOEPLITZ ALGEBRAS ON DISCRETE GROUPS
AND THEIR NATURAL MORPHISMS |
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| J. LORCH,XU Qingxiang.TOEPLITZ ALGEBRAS ON DISCRETE GROUPS AND THEIR NATURAL MORPHISMS[J].Chinese Annals of Mathematics,Series B,2005,26(1):143-152. |
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| Authors: | J LORCH and XU Qingxiang |
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| Institution: | 1. Department of Mathematical Sciences, Ball State University, Muncie, IN 47306-0490, USA
2. Department of Mathematics, Shanghai Normal University, Shanghai,200234, China |
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| Abstract: | Let G be a discrete group, E1 and E2 be two subsets of G with E1 () E2, and e ∈ E2. Denote by TE1 and TE2 the associated Toeplitz algebras. In this paper, it is proved that the natural morphism γE2,E1 from TE1 to TE2 exists as a C*-morphism if and only if E2 is finitely covariant-lifted by E1. Based on this necessary and sufficient condition, some applications are made. |
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| Keywords: | Toeplitz algebra Natural C-morphism Finite covariant-lift |
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