Standard $\lambda$-lattices, rigid $\mathrm{C}^{*}$ tensor categories, and (bi)modules
Standard $\lambda$-lattices, rigid $\mathrm{C}^{*}$ tensor categories, and (bi)modules
In this article, we construct a 2 -shaded rigid \mathrm{C}^{*} multitensor category with canonical unitary dual functor directly from a standard \lambda -lattice. We use the notions of traceless Markov towers and lattices to define the notion of module and bimodule over standard \lambda -lattice(s), and we explicitly construct the …