论文标题
图表代数的常规理想
Regular ideals of graph algebras
论文作者
论文摘要
令$ c^*（e）$为图形c $^*$ - 排列图$ e $的代数。我们对$ c^*（e）$的规则常规理想的顶点集进行了完整的描述。结果表明，当$ e $满足条件（l）时，常规理想$ c^*（e）$是一类规范不变的理想，可以在商中保留条件（l）。也就是说，我们表明，如果$ e $满足条件（l），那么常规的理想$ j \ linhd c^*（e）$必然是衡量不变的。此外，如果$ j \ linhd c^*（e）$是常规的理想，则表明$ c^*（e）/j \ simeq c^*（f）$ $ f $满足条件（l）。
Let $C^*(E)$ be the graph C$^*$-algebra of a row-finite graph $E$. We give a complete description of the vertex sets of the gauge-invariant regular ideals of $C^*(E)$. It is shown that when $E$ satisfies Condition (L) the regular ideals $C^*(E)$ are a class of gauge-invariant ideals which preserve Condition (L) under quotients. That is, we show that if $E$ satisfies Condition (L) then a regular ideal $J \unlhd C^*(E)$ is necessarily gauge-invariant. Further, if $J \unlhd C^*(E)$ is a regular ideal, it is shown that $C^*(E)/J \simeq C^*(F)$ where $F$ satisfies Condition (L).
