Increased collaboration creates buzz throughout the organization about you. Over time, people will be talking about you in a good way when you are not around. With whom should you be collaborating? If you were to create a list of thought partners, who would be included?
The more exposure people have to different aspects of your personality, the more they will understand you. In the absence of information, people will create their own stories. It is hard as hell to deconstruct an inaccurate perception. Manage perceptions by freely sharing who you are... with boundaries.