I use Chrome on a Mac with a half dozen spaces with multiple monitors and have never had problem moving between spaces. Out of curiosity are you using the release, beta or dev channel?
I just use the standard release of Chrome. I Googled about the problem several times and all I could find out is that some people experience this issue and others don't, and no cure was known. The problem did not go away via numerous upgrades of Chrome, so I eventually gave up.
