How to remove remote origin from branch name after converting from svn to git

I am trying to convert an svn repository to git and I have mostly accomplished what I needed by doing the following:

git svn init https://svn.server.com/repos/my_repo --stdlayout
git svn fetch

I also found a way to convert all SVN branches to local Git branches:

for branch in `git branch -r | grep -v tags`; do
    git branch $branch $branch
done

However, now I am stuck with a list of branches that look like this:

origin/1.3
origin/1.4
origin/1.5
origin/1.6
origin/1.7
origin/1.8
origin/2.0

What I'd really like to end up with is branch names that look like this:

1.3
1.4
1.5
1.6
1.7
1.8
2.0

I've tried looking into git filter-branch, but I'm not sure if that is exactly what I want. I also tried to specify my layout more manually like this:

git svn clone --trunk=/trunk --branches=/branches --tags=/tags https://svn.server.com/repos/my_repo

but this did not work either. It gave me the same results with origin/ before every branch name. I just wanted to know if it's possible to make these branch name changes without having to re-clone the entire repo again.

Here is the output of running git branch -a:

git branch -a
* master
  origin/1.3
  origin/1.4
  origin/1.5
  origin/1.6
  origin/1.7
  origin/1.8
  origin/2.0

Solution

It is possible to add

git branch -m old_name new_name

to the loop so that the part of the bash script becomes

for branch in `git branch -r | grep -v tags`; do
    new_branch=$(echo $branch | sed 's/origin\///')
    git branch $branch $branch
    git branch -m $branch $new_branch
done

It can be made prettier but it gets the job done and shows that you can rename branches.