To run the engine, you don't need a O2 sensor.
To get some sort of O2 reading on the Adaptronic/laptop software you can use any O2 sensor at all and there would be a way of wiring it up.
For closed loop idle I think a regular factory style narrow band O2 sensor is normal to use, either 1 wire or 3, 4 wires etc. Not 100% sure of how well the Adaptronic works with this or how hard it is to setup. It is not nessesary to get the motor running well.
For adaptive tuning, I think you should have (maybe a narrow band would sort of work?) a wideband 5 wire O2 sensor.
The way I have done it is to use a complete Innovate wideband system with its own power suply, and you just plug a serial cable from the Innovate to the Adaptronic and it all works. Select "Innovate" or similar in the options on the laptop software. There are a few other wideband systems you can use, and Adaptronic will be compatable with most.
However it seams it takes more knowledge and time to setup the options for adaptive tuning to work properly, than it would just to tune it manualy. I havn't spent enough time with it. I was able to get the maps reasonable myself, but the "adaptive" system just stuffed everything up again. Obviosly my perameters were not right. Experienced tuners tell me the adaptive function is just a gimmic.