Any time you see a person's name such as in the list of ideas, comments, appreciations or in the leaderboard - you can click on it and it will take you to their profile page. You can find your own profile page by clicking on your name on the top right of innoloop and then clicking "View your profile" from the menu that appears.
A profile page will show you the persons picture, name, job title, department and contact details. You will also be able to see their number of points and the achievements that they have unlocked. Selecting any of the tabs such as "Rewards" or "Ideas" will show you the rewards that they have been given or the Ideas that they entered so far alongside any appreciations and comments that been added to them.
When viewing someones rewards, you can click on an individual reward see more information such as why they were given that reward and what Idea or Challenge it related to.