论文标题
通过HERZ-SCHUR乘数的精确性和肥皂
Exactness and SOAP of Crossed Products via Herz--Schur multipliers
论文作者
论文摘要
给定一个$ c^*$ - 动态系统$（a，g，α）$，带有离散组的$ g $，schur $ a $ a $ ulultipliers和herz-schur $（a，g，α）$ - 乘数用于实现近似属性，即确切属性，即精确性（即强大的运算符（soap）$ a $ a \ rtimes fimmes c rtimes fimmes apmectime and and \ rtimes c rtmimes fimmes fimmes。 $ a \ rtimes_ {α，r} g $的精确性和肥皂的结果特征概括了还原的组$ c^*$ - 代数。
Given a $C^*$-dynamical system $(A,G,α)$, with $G$ a discrete group, Schur $A$-multipliers and Herz--Schur $(A,G,α)$-multipliers are used to implement approximation properties, namely exactness and the strong operator approximation property (SOAP), of $A \rtimes_{α, r} G$. The resulting characterisations of exactness and SOAP of $A \rtimes_{α, r} G$ generalise the corresponding statements for the reduced group $C^*$-algebra.
