ÃŽÂα is a participle (we call it molecule-μÃÅ’ÃÂιο, in modern greek grammar) that usually suggests the subjunctive mood (ÃŽÂα+indicative mood=subjunctive mood)
Also, can Nα with a conjugated verb following function as an infinitive in English would when for example taking the role of a direct object? To illustrate, 'I want to eat': Thelo na trowo, is it?
Pretty much, yes (in ancient Greek "Thelw na faw-ΘÎÂλÉ να ÆάÉ", would have been "Thelw fagein-ΘÎÂλÉ Φαγείν" or "Thelw Esthiein-ΘÎÂλÉ EÃÆ’θίειν, which is a more poetic expression. This verb-ÃŽÂµÃÆ’θίÉ-plus the negative participle ne-νη, forms the word νη+ÃŽÂµÃÆ’θίÉ=ÃŽÂ½ÃŽÂ·ÃÆ’Äεία (fast)