非对易峰化现象和局部超刚性猜想
Non-commutative peaking phenomena and a local version of the hyperrigidity conjecture
摘要：
我们调查各种概念的峰值行为的状态上的$\mathrm{C}^*$ -代数，峰值发生在一个运营商系统。我们特别密切关注的存在的元素序列形成一个近似的特征函数的一个点在状态空间。我们利用这样的特征序列本地化的$\mathrm{C}^*$ -代数在一个给定的状态，并使用此本地化过程来验证的变化Arveson的超刚性猜想的任意运营商系统。
英文摘要：
We investigate various notions of peaking behaviour for states on a $\mathrm{C}^*$-algebra, where the peaking occurs within an operator system. We pay particularly close attention to the existence of sequences of elements forming an approximation of the characteristic function of a point in the state space. We exploit such characteristic sequences to localize the $\mathrm{C}^*$-algebra at a given state, and use this localization procedure to verify a variation of Arveson's hyperrigidity conjecture for arbitrary operator systems.
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