C-algebraic factorization homology and realization of cyclic representations
Lucas Hataishi
University of Oslo, Oslo, Norway
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Abstract
We prove cocontinuity of the -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 . We also provide a GNS-type reconstruction theorem for C-algebra objects in categories of bimodules over a -factor, enhancing a realization theorem due to C. Jones and D. Penneys.
Cite this article
Lucas Hataishi, C-algebraic factorization homology and realization of cyclic representations. Quantum Topol. (2024), published online first
DOI 10.4171/QT/212