As lsc pointed out above, that's not the case at all. Amazon is refusing to collect taxes on behalf of its customers, not refusing to pay its own taxes.
By law, citizens are supposed to tally up what they bought from internet retailers over the course of the year and pay any remaining sales tax on April 15th. Shockingly, this isn't happening, and the sales taxes aren't being paid at all. So these states want Amazon to behave like a bricks and mortar retailer, and collect the tax at time of sale instead.
Amazon doesn't want to collect sales tax because not doing so makes their prices look lower than competitors like Barnes and Noble, which does collect sales tax. Nothing more, nothing less.