C*-Algebraic Factorization Homology and Realization of Cyclic Representations

Lucas Hataishi

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arXiv · 2304.07155

C*-Algebraic Factorization Homology and Realization of Cyclic Representations

Lucas Hataishi

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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 II_1-factor, enhancing a realization theorem due to C. Jones and D. Penneys.

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Lucas Hataishi. 2023-04-14. C*-Algebraic Factorization Homology and Realization of Cyclic Representations. https://arxiv.org/abs/2304.07155

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