edifice (n.)
late 14c., from Old French edifice "building," from Latin aedificium "building," from aedificare "to erect a building," from aedis, variant of aedes "temple, sanctuary," usually a single edifice without partitions, also, in the plural, "dwelling house, building," originally "a place with a hearth" + the root of facere "to make" (see factitious).

Ædis is from PIE *aidh- "to burn" (cognates: Greek aithein "to burn," Sanskrit inddhe "burst into flames," Old Irish aed "fire," Welsh aidd "heat, zeal," Old High German eit "funeral pile"), from root *ai- "to burn."