  We discuss the algebra of operators in AdS-Rinlder wedge, particularly in
AdS$_{5}$/CFT$_{4}$. We explicitly construct the algebra at $N=\infty$ limit
and discuss its Type III$_{1}$ nature. We will consider $1/N$ corrections to
the theory and using a novel way of renormalizing the area of Ryu-Takayanagi
surface, describe how several divergences can be renormalized and the algebra
becomes Type II$_{\infty}$. This will make it possible to associate a density
matrix to any state in the Hilbert space and thus a von Neumann entropy.
