diff --git a/pandas/core/indexes/base.py b/pandas/core/indexes/base.py
index 74c6abeb0ad12..626f3dc86556a 100644
--- a/pandas/core/indexes/base.py
+++ b/pandas/core/indexes/base.py
@@ -141,12 +141,10 @@ class Index(IndexOpsMixin, PandasObject):
     _join_precedence = 1
 
     # Cython methods
-    _arrmap = libalgos.arrmap_object
     _left_indexer_unique = libjoin.left_join_indexer_unique_object
     _left_indexer = libjoin.left_join_indexer_object
     _inner_indexer = libjoin.inner_join_indexer_object
     _outer_indexer = libjoin.outer_join_indexer_object
-    _box_scalars = False
 
     _typ = 'index'
     _data = None
@@ -155,9 +153,6 @@ class Index(IndexOpsMixin, PandasObject):
     asi8 = None
     _comparables = ['name']
     _attributes = ['name']
-    _allow_index_ops = True
-    _allow_datetime_index_ops = False
-    _allow_period_index_ops = False
     _is_numeric_dtype = False
     _can_hold_na = True
 
diff --git a/pandas/core/indexes/datetimes.py b/pandas/core/indexes/datetimes.py
index afc86a51c02b4..8dd41c022d163 100644
--- a/pandas/core/indexes/datetimes.py
+++ b/pandas/core/indexes/datetimes.py
@@ -282,7 +282,6 @@ def _join_i8_wrapper(joinf, **kwargs):
     _left_indexer = _join_i8_wrapper(libjoin.left_join_indexer_int64)
     _left_indexer_unique = _join_i8_wrapper(
         libjoin.left_join_indexer_unique_int64, with_indexers=False)
-    _arrmap = None
 
     @classmethod
     def _add_comparison_methods(cls):
diff --git a/pandas/core/indexes/interval.py b/pandas/core/indexes/interval.py
index 232770e582763..3bf783b5a2faa 100644
--- a/pandas/core/indexes/interval.py
+++ b/pandas/core/indexes/interval.py
@@ -207,7 +207,6 @@ class IntervalIndex(IntervalMixin, Index):
     _typ = 'intervalindex'
     _comparables = ['name']
     _attributes = ['name', 'closed']
-    _allow_index_ops = True
 
     # we would like our indexing holder to defer to us
     _defer_to_indexing = True
diff --git a/pandas/core/indexes/numeric.py b/pandas/core/indexes/numeric.py
index 5e6ebb7588ab9..b02aee0495d8c 100644
--- a/pandas/core/indexes/numeric.py
+++ b/pandas/core/indexes/numeric.py
@@ -1,6 +1,6 @@
 import numpy as np
 from pandas._libs import (index as libindex,
-                          algos as libalgos, join as libjoin)
+                          join as libjoin)
 from pandas.core.dtypes.common import (
     is_dtype_equal,
     pandas_dtype,
@@ -158,7 +158,6 @@ class Int64Index(NumericIndex):
     __doc__ = _num_index_shared_docs['class_descr'] % _int64_descr_args
 
     _typ = 'int64index'
-    _arrmap = libalgos.arrmap_int64
     _left_indexer_unique = libjoin.left_join_indexer_unique_int64
     _left_indexer = libjoin.left_join_indexer_int64
     _inner_indexer = libjoin.inner_join_indexer_int64
@@ -217,7 +216,6 @@ class UInt64Index(NumericIndex):
     __doc__ = _num_index_shared_docs['class_descr'] % _uint64_descr_args
 
     _typ = 'uint64index'
-    _arrmap = libalgos.arrmap_uint64
     _left_indexer_unique = libjoin.left_join_indexer_unique_uint64
     _left_indexer = libjoin.left_join_indexer_uint64
     _inner_indexer = libjoin.inner_join_indexer_uint64
@@ -296,7 +294,6 @@ class Float64Index(NumericIndex):
 
     _typ = 'float64index'
     _engine_type = libindex.Float64Engine
-    _arrmap = libalgos.arrmap_float64
     _left_indexer_unique = libjoin.left_join_indexer_unique_float64
     _left_indexer = libjoin.left_join_indexer_float64
     _inner_indexer = libjoin.inner_join_indexer_float64
diff --git a/pandas/core/indexes/period.py b/pandas/core/indexes/period.py
index 8b35b1a231551..1f8542ed5ee60 100644
--- a/pandas/core/indexes/period.py
+++ b/pandas/core/indexes/period.py
@@ -204,7 +204,6 @@ class PeriodIndex(DatelikeOps, DatetimeIndexOpsMixin, Int64Index):
     DatetimeIndex : Index with datetime64 data
     TimedeltaIndex : Index of timedelta64 data
     """
-    _box_scalars = True
     _typ = 'periodindex'
     _attributes = ['name', 'freq']
 
diff --git a/pandas/core/indexes/timedeltas.py b/pandas/core/indexes/timedeltas.py
index b88ee88210cfe..4b543262fc485 100644
--- a/pandas/core/indexes/timedeltas.py
+++ b/pandas/core/indexes/timedeltas.py
@@ -170,7 +170,6 @@ def _join_i8_wrapper(joinf, **kwargs):
     _left_indexer = _join_i8_wrapper(libjoin.left_join_indexer_int64)
     _left_indexer_unique = _join_i8_wrapper(
         libjoin.left_join_indexer_unique_int64, with_indexers=False)
-    _arrmap = None
 
     # define my properties & methods for delegation
     _other_ops = []
diff --git a/pandas/core/series.py b/pandas/core/series.py
index a14eb69d86377..78b4c3a70a519 100644
--- a/pandas/core/series.py
+++ b/pandas/core/series.py
@@ -144,7 +144,6 @@ class Series(base.IndexOpsMixin, generic.NDFrame):
     _deprecations = generic.NDFrame._deprecations | frozenset(
         ['asobject', 'sortlevel', 'reshape', 'get_value', 'set_value',
          'from_csv', 'valid'])
-    _allow_index_ops = True
 
     def __init__(self, data=None, index=None, dtype=None, name=None,
                  copy=False, fastpath=False):
diff --git a/pandas/tests/test_base.py b/pandas/tests/test_base.py
index c468908db5449..df2547fc7b0da 100644
--- a/pandas/tests/test_base.py
+++ b/pandas/tests/test_base.py
@@ -265,8 +265,8 @@ class TestIndexOps(Ops):
 
     def setup_method(self, method):
         super(TestIndexOps, self).setup_method(method)
-        self.is_valid_objs = [o for o in self.objs if o._allow_index_ops]
-        self.not_valid_objs = [o for o in self.objs if not o._allow_index_ops]
+        self.is_valid_objs = self.objs
+        self.not_valid_objs = []
 
     def test_none_comparison(self):