The crime had went up when countries were in recession, so we had recession in early 80's and again in early 90's, so crime rate was bad, also crack epidemic contributed to high crime rate. When our economy went improved, the crime rate were declining in mid and late 90's, but went spike in 2001 because of dot com bust and we were in recession for short time. The financial crisis in 2007-2008 was unusual movement because crime rate hadn't went up because of worst recession, except in Chicago, that where crime went up, but much improving in NYC and LA. The recession could cause a problem with crime but sometime, it doesn't always to apply the situation.
When crime rate went up in UK after decline, especially got bad in 2009, so it will be obvious because the recession could be contributed to increase of crime rate.
The connection between crime rate and recession is getting past in US, but may not true for UK.
There are no official research about correlation, but if you compare between recession and crime rate, so it may or may not work.
https://www.google.com/webhp?hl=en&...44,d.b2U&fp=a58cb7fd6f61ab5f&biw=1439&bih=850