Preheat oven to 350°F (180°C) and line a 9-inch (22 cm) cake pan with parchment paper.
In a bowl, combine the ground walnuts, almond flour, erythritol, and gluten-free baking powder.
In another bowl, whisk the eggs until light and fluffy, then whisk in the coconut oil and vanilla extract.
Gently fold the dry ingredients into the wet ingredients until just combined. Be careful not to overmix.
Pour the batter into the prepared pan and bake for 25-30 minutes, or until a wooden skewer inserted into the center comes out clean. Let cool completely in the pan before frosting.
Once cooled, slice the cake horizontally into two layers and spread with sugar-free whipped cream.
Frost the top and sides of the cake with the remaining whipped cream, then decorate with walnut halves.
Refrigerate the cake for at least 1 hour before serving to allow the flavors to meld.
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