# Tag Info

I post here the answer I received for the same question in mathoverflow: Here I list some facts that may be useful for building your intuition: 1. Two commutative Morita equivalent $C^*$-algebra are in fact $*$-isomorphic. 2 If $A$ is $C^*$-algebra and you take $B=M_n(A)$ then $A$ and $B$ are Morita equivalent. 3 Many invariants for $C^*$-algebras such as ...