Q-systems and compact W*-algebra objects

Corey Jones; David Penneys

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arXiv · 1707.02155

Q-systems and compact W*-algebra objects

Corey Jones·David Penneys

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Abstract

We show that given a rigid C*-tensor category, there is an equivalence of categories between normalized irreducible Q-systems, also known as connected unitary Frobenius algebra objects, and compact connected W*-algebra objects. Although this result could be proved as a corollary of our previous article on realizations of algebra objects and discrete subfactors, we prove it here directly via categorical methods without passing through subfactor theory.

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Corey Jones, David Penneys. 2017-07-07. Q-systems and compact W*-algebra objects. https://arxiv.org/abs/1707.02155

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