Where would I find an up to date (last 6-7 years max) review on B cells? I've tried searching through pubmed with filters, cochrane library, medline and various other resources including searching old questions. A textbook would be fine too, but I'm not sure which one would give me detailed information. I'm a BSc student studying immunology. I'm not trying to create a war of "best" answers, any answer that fits these criteria I will accept.
Cellular and Molecular Immunology by Abul Abbas et al. is pretty good, and you can't beat Charlie Janeway's Immunobiology either. Both will give a good introduction to B-cells, antibodies, BCR signaling, and how they fit in to the immune system's structure and function. I own earlier editions of both, and their different perspectives are good for getting a more holistic understanding of the field. Good luck in your studies, it's a fascinating subject!
I agree entirely with Matt, Abbas and Janeway's books are the standard for even graduate-level introductory Immunology. Both are easy to read and well organized. Definitely start here.
However, depending on what you have access to and the depth of reading you want to do, there was an Annual Review of Immunology issue some years ago (maybe 2003?) that discussed a number of B Cell topics (signaling, fate decisions, etc). I also see that there is a newer article: "B Cell Signaling and Fate Decision" Annual Review of Immunology 28: 21-55 (Volume publication date April 2009) Tomohiro Kurosaki, Hisaaki Shinohara, and Yoshihiro Baba that might be pretty general if you have access through a university.
By the way, I think the disagreement about BCR crosslinking is for survival/development (i.e., are 'tonic' signals sufficient to allow cells through development?) As for activation, B cells are triggered either by antigen-specific BCR crosslinking or more general TLR activation (e.g., LPS).