Apart from Christian tradition are there any historical or biographical facts about Aegeates a Roman governor of Achaia in the first century who supposedly had the Apostle Andrew crucified?

Answer 1

Yes, there are historical and biographical facts known about Aegeates, but nothing that suggests that Andrew suffered at his hands. In fact, first century Roman history suggests that this was unlikely.

The legend that the apostle Andrew was crucified on the orders of Aegeates may have begun with the apocryphal Acts of Andrew, which is thought likely to have been written between 150-200 CE. In this book, which has many parallels to Homer's Odyssey, Andrew is Jesus-like and achieves many similar miracles, by prayer. Even the crucifixion of Andrew parallels that of Jesus. But the more implausible the Acts of Andrew becomes, the less likely are any of the legends aboutt Andrew to be true.