Equation 39 · The Entry a Relabeling Cannot Write

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W

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the dual of conjugation by. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.

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W

Symbol W

the dual of conjugation by.

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The dual of conjugation by W is conjugation by $W^\dagger$ : from the defining pairing, $\mathrm{Tr}$ [W $\rho$ $W^\dagger$ $O_c$ ] = $\mathrm{Tr}$ [ $\rho$ $W^\dagger$ $O_c$ W] holds for every $\rho$ , so $\Lambda^\dagger(O_c)$ = $W^\dagger$ $O_c$ W . Substituting,

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