Non‐commutative peaking phenomena and a local version of the hyperrigidity conjecture
@article{Clouatre2017NoncommutativePP, title={Non‐commutative peaking phenomena and a local version of the hyperrigidity conjecture}, author={Raphael Clouatre}, journal={Proceedings of the London Mathematical Society}, year={2017}, volume={117} }
We investigate various notions of peaking behaviour for states on a 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 localise the C∗ ‐algebra at a given state, and use this localisation procedure to verify a variation of Arveson's hyperrigidity conjecture for arbitrary…
6 Citations
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