I don't think this is really a big topic of debate. Or if it is, it's being debated in circles I don't hang in.
The general rules of Object Oriented Programming encourage the use of Properties in C#. And Data Binding needs Properties. Some people like to just use a public field instead, because it might involve a bit less typing, and if you aren't doing anything in your accessors or using Data Binding, you can argue that they are really unnecessary. And if you start out using Fields, you can convert them to Properties relatively easily if you need to.
So from a practical point of view, it generally doesn't make a lot of difference. But I usually prefer Properties, as they are more in-line with the guidelines of OOP.