Structural properties of close II$_1$ factors
  We show that a number of key structural properties transfer between sufficiently close II$_1$ factors, including solidity, strong solidity, uniqueness of Cartan masas and property $\Gamma$. We also examine II$_1$ factors close to tensor product factors, showing that such factors also factorise as a tensor product in a fashion close to the original. 
Jan Cameron, Erik Christensen, Allan M. Sinclair, Roger R. Smith,   Stuart White, Alan D. Wiggins
math.OA