Appears in collection : Operator Algebras and Quantum Information Theory

We relate a common class of entropic asymmetry measures to non-commutative L_p space norms. These asymmetry measures have operational meanings related to the resource theory of asymmetry and problems of reference frame misalignment in quantum systems. We further derive a correspondence between maximal asymmetry and the von Neumann algebra index introduced by Pimsner and Popa. This investigation is motivated by previous work of Marvian and Spekkens on extensions of Noether's theorem. This is joint work with Li Gao and Marius Junge.