be + after
I want to know if John is only after my money.

go + after (1)
We went after the robber and found his hideout.

go + after (2)
Due to the recession, many people are going after secure jobs.

look + after
Could you look after my dog while I am away?

run + after
Well-fed cats don't run after mice.

take + after
Many of my friends say I take after my father, but actually he is my stepfather.

name + after
If it's a boy, I want to name him after my grandfather.