论文标题

type-i $ \ mathrm {c}^*$ - 代数上的紧凑型量子组结构

Compact quantum group structures on type-I $\mathrm{C}^*$-algebras

论文作者

Chirvasitu, Alexandru, Krajczok, Jacek, Sołtan, Piotr M.

论文摘要

我们证明了许多结果与配备类型I $ \ MathRM {C}^*$ - 具有紧凑量量子组结构的代数,这两个主要的是,这样的紧凑量量子组必然是可以共同的,并且如果$ \ mathrm {c}^*$ - algebra dield atnitie atnitient aintient aintient of non-al-al-al-algebra intient intient intient of Andientient finition firention fir。 $ \ mathrm {c}^*$ - 代数为换向的unital $ \ mathrm {c}^*$ - 代数,然后必须是有限的。

We prove a number of results having to do with equipping type-I $\mathrm{C}^*$-algebras with compact quantum group structures, the two main ones being that such a compact quantum group is necessarily co-amenable, and that if the $\mathrm{C}^*$-algebra in question is an extension of a non-zero finite direct sum of elementary $\mathrm{C}^*$-algebras by a commutative unital $\mathrm{C}^*$-algebra then it must be finite-dimensional.

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