I wonder if there is an English version of the Abhidhamma, in its entirety?
As far as I know, there is no single compiled translation of all the volumes of the Abhidhamma but they are separately translated by several people.
You can find an index of these translations in ATI's Abhidhamma Page.
Note that, although no English translation of the "The Book of Pairs" (Yamaka) is mentioned in the above link, there is one. You can find Vol.1 here.
Abhidhamma.com also has useful material available for download, including "The Book of Pairs Vol.2".
There is a global non-profit initiative aiming at translating the whole Kangyur and Tengyur (Abhidhamma is a part of Tengyur) into modern languages - 84000. You can browse their website to see how they work, what is their vision and which texts has been already translated into English.
Overall, there is not much translated at the moment but they hope that within 10 years a substantial amount of texts will become publicly available in English.
Most of the abhidhamma pitaka has been translated by the PTS:
Translations are as follows:
Buddhist Manual of Psychological Ethics - Dhammasaṅgaṇī
The Book of Analysis - Vibhaṅga
Discourse on Elements - Dhātukathā
Points of Controversy - Kathāvatthu
Designation of Human Types - Puggalapaññatti
Conditional Relations - Paṭṭhāna
The only one that is missing is the Yamaka, for which I see there are a couple of partial translations as mentioned in another answer.