论文标题
HERZ-SCH乘乘数的跌倒捆
Herz-Schur Multipliers of Fell Bundles
论文作者
论文摘要
在本文中，我们将HERZ-Schur倍增器的概念发展到Fell Bundle的背景下，如果减少了横截面$ c^{\ ast} $ - algebra $ c_r $ c_r^{\ ast}（\ mathfrak {b} $ rucy of colucte $ coby unity，我们将提供必要的条件。概念。作为一个应用程序，我们证明，如果$ c_r^{\ ast}（\ mathfrak {b}）$是核的，那么对于任何子组$ h \ subset g $，$ c^{\ ast} $ - algebra $ c_r $ c_r $ c_r^{\ ast} {\ ast}（\ mathfrak）
In this paper we develop the notion of Herz-Schur multipliers to the context of Fell bundle, and we give a necessary and sufficient condition if the reduced cross-sectional $C^{\ast}$-algebra $C_r^{\ast}(\mathfrak{B})$ of Fell bundle $\mathfrak{B}$ over discrete group $G$ is nuclear in terms of this generalized notion. As an application, we prove that if $C_r^{\ast}(\mathfrak{B})$ is nuclear, then for any subgroup $H \subset G$, the $C^{\ast}$-algebra $C_r^{\ast}(\mathfrak{B}_H)$ is nuclear.
