C*-Algebraic Factorization Homology and Realization of Cyclic Representations

2023/04/14 by Hataishi, Lucas
#FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Operator Algebras (math.OA) #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.2304.07155

Abstract

We prove cocontinuity of the max-tensor product of C*-categories and develop a framework to perform factorization homology in a C*-setting. In such context, we specialize some results of D. Ben-Zvi, A. Brochier and D. Jordan. As a consequence of our constructions, we realize quantum Hamiltonian reduction in terms of bimodules over a factor N. We also provide a GNS-type reconstruction theorem for C*-algebra objects of in categories of bimodules over a II₁-factor, enhancing a realization theorem due to C. Jones and D. Penneys.

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