Realizations of Rigid C*-Tensor Categories as Bimodules over GJS C*-Algebras

Autor:	Hartglass, Michael, Palomares, Roberto Hernandez
Rok vydání:	2020
Předmět:	Mathematics - Operator Algebras Mathematics - Quantum Algebra 46L37 46L08 46L54
Druh dokumentu:	Working Paper
Popis:	Given an arbitrary countably generated rigid C*-tensor category, we construct a fully-faithful bi-involutive strong monoidal functor onto a subcategory of finitely generated projective bimodules over a simple, exact, separable, unital C*-algebra with unique trace. The C*-algebras involved are built from the category using the GJS-construction introduced in arXiv:0911.4728 and further studied in arXiv:1208.5505 and arXiv:1401.2486. Out of this category of Hilbert C*-bimodules, we construct a fully-faithful bi-involutive strong monoidal functor into the category of bi-finite spherical bimodules over an interpolated free group factor. The composite of these two functors recovers the functor constructed in arXiv:1208.5505 Comment: 32 pages, many figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2005.09821 Zobrazit plný text záznamu View this record from Arxiv