I am attending conference with advisor and the other student from our research group. I saw my advisor and the other student went to lunch together. They didn't offer me to go together. There were also the her (other student) husband, the graduated student from our group, his (graduated) wife. People going lunch together are all chineses, and they know each other very well. I am an international student from another country). Does it mean that advisor want to avoid me? Does he hate me? Can I proceed my ph.d. In this group?
Does he behave similarly in your University? Do you find anything else in his behavior which hurt you often e.g., he doesn't talk to you much, he doesn't pay much attention to you, he doesn't care about your research etc etc..? How about other group members? Do they behave in a same manner?
If all these yes, then he might be avoiding you. If no, then did you have refused to have Chinese food before? If this is the case, then he might be thinking that you may not like Chinese food, because you had refused before to have Chinese food or there may be some other silly reason. So you should not think much.
Does it mean that advisor want to avoid me? Does he hate me?
Just knowing from this incident it is not possible to say anything. As I mentioned, if similar kind of things happens in your university also, then you may be true to some extent.
Can I proceed my ph.d. In this group?
Do you really feel very uncomfortable to continue your PhD in this group? How many years you already completed? If it is just a begin and you have other option, then you can think of alternative.