Anisotropic spin generalization of elliptic Ruijsenaars–Macdonald operators

Using the elliptic Baxter–Belavin $R$-matrix we construct commuting set of matrix-valued difference operators, which can be considered as anisotropic versions of the quantum spin Ruijsenaars–Macdonald Hamiltonians. We prove that the commutativity of spin operators is equivalent to a set of nontrivial $R$-matrix identities.