论文标题
局部紧凑量量子组的田地：连续性和求职
Fields of locally compact quantum groups: continuity and pushouts
论文作者
论文摘要
我们证明，（a）具有可共二偶有的双重二元组的离散紧凑型量子组（或更普遍的局部紧凑，在其他假设下）是其中央封闭量子亚组的连续磁场，并且（b）与在公共中央子组上共凝聚的无均衡双重合并的自由量子组的免费产物相同。在此过程中，我们还表明，$ c^*$ - 代数的连续场的免费产品通过$ c^*$ - 场连续性的跌倒表征再次免费，从而恢复了布兰查德（Blanchard's）的结果。
We prove that (a) discrete compact quantum groups (or more generally locally compact, under additional hypotheses) with coamenable dual are continuous fields over their central closed quantum subgroups, and (b) the same holds for free products of discrete quantum groups with coamenable dual amalgamated over a common central subgroup. Along the way we also show that free products of continuous fields of $C^*$-algebras are again free via a Fell-topology characterization for $C^*$-field continuity, recovering a result of Blanchard's in a somewhat more general setting.
