Use the PIVOT statement without an aggregate

I am trying to write a query with the PIVOT function but can't figure it out.  I have used PIVOT a number of times before but in this case I do not need to use any aggregate this time.  Not sure if that is the problem.  Here is a sample of my data:

Category    User    Rank
cat1            john     1
cat1            bill       2
cat1            lisa       3
cat2            lisa       1
cat2            bill       1
cat2           john      3

Each user only occurs once in each category and only has one rank for each category, but the ranks can be tied as shown in category 2 (lisa and bill are tied).  However, I don't think that matters.  I'm not trying to sum or get max values.  I want my table to look like this:

User    Cat1    Cat2
Bill        2          1
John      1          3
Lisa       3          1

I have more categories and users but I don't think that will change how it is done.  It seems fairly simple for the PIVOT but apparently I don't understand it well enough to make it work.  

I appreciate any help and suggestions.