Warming continues to be closely in line with the trend since 1970:
Having determined that there has been a warming trend of about 0.16C/decade for the 30 years between 1970 and 2000, the correct question is not has the warming stopped OMG (a question you will never be able to answer with a few years of data) but rather is there any reason to think the trend is different from what it was before?
If you determine there's a tiger in your bedroom, and then (wisely) don't go into your bedroom for a while, the test for whether there's still a tiger there in not whether you've heard it roar in the last 5 minutes. Unless you have convincing evidence, you probably should conclude that the tiger's still there, until and unless you get some strong evidence something has changed.
So, what is wrong with Cruz’s statement? Well, assuming that by ‘recorded warming’, he means the satellite-derived lower atmospheric surface temperatures his statement is absolutely correct. If he is referring to globally averaged surface temperatures since 2000, there is only a very small amount of warming; this small amount of warming is indeed contrary to the theory of AGW.Who? Who else?