For sums of G-independent semicircle variables, the operator norm is bounded by 2√ω(G) and is exactly the spectral radius of the Cayley graph of the associated trace monoid.
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Khintchine inequalities, trace monoids and Tur\'an-type problems
For sums of G-independent semicircle variables, the operator norm is bounded by 2√ω(G) and is exactly the spectral radius of the Cayley graph of the associated trace monoid.