Because we want a "less is more" approach to world building in the roleplay narrative, the ending of 2077 is purposefully left vague. Most characters have no idea what happened in Arasaka Tower or what happened to V. The most that characters would probably know is the aftermath of gigs V took whilst in the city, or the legend of V as a solo.
What is known by most in Night City is that Arasaka's stock plummeted after Mikoshi was destroyed. Arasaka attempted to pin the blame on a Militech raid, yet legal processions have yet to proceed, and despite their best attempts, public perception of Arasaka has tanked. With crashing stocks, extreme mistrust in both markets and the public, and mounting opposition as corporations in Night City turn their eyes to vulnerable prey, Arasaka has all but retreated from the City of Dreams, now under the direction of Yorinobu Arasaka. Their flagship carrier, the Kujira, has departed. Arasaka Tower stands, but is manned by a skeleton crew, cursed to handle the fallout as Arasaka plans its next move. Rumors abound that V, the legendary Solo who has now gone missing, still lives on. Whilst Arasaka vehemently denies it, many believe it was V who stormed Arasaka that fateful night.
Only time will tell the truth of the situation in Night City, and while Arasaka still maintains a minimal presence in Night City, some suspect that they are simply biding their time until they make their grand return.