TOEPLITZ ALGEBRAS ON DISCRETE GROUPS AND THEIR NATURAL MORPHISMS

资源类型: 资源大小: 文档分类:数理科学和化学 上传者:齐芳

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【作者】 J.LORCH 

【出版日期】2005-01-25

【摘要】<正>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.

【刊名】Chinese Annals of Mathematics

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