I will construct an infinite-dimensional analog of the HaPPY code as a growing
series of stabilizer codes defined respective to their Hilbert spaces. These
Hilbert spaces are related by isometries that will be defined during this
talk. I will analyze its system in various aspects and demonstrate, using an
operator-algebraic perspective, that the bulk reconstruction is satisfied for
the infinite-dimensional analogue of the HaPPY code. I will discuss its
implications in AdS/CFT and further utilize this operator-algebraic approach
to the approximate theorem between the bulk reconstruction and relative
entropy equivalence.