Theorem(Elliott, Gong, Lin, Niu Tikuisis, White, Winter,...)
Let $A,B$ be simple separable unital nuclear $C^*$-algebras which are $\mathcal Z$-stable and satisfy the UCT. Then $A\simeq B$ if and only if $\text{Ell}(A)\simeq \text{Ell}(B)$.
Theorem(Elliott, Gong, Lin, Niu Tikuisis, White, Winter,...)
Let $A,B$ be simple separable unital nuclear $C^*$-algebras which are $\mathcal Z$-stable and satisfy the UCT. Then $A\simeq B$ if and only if $\text{Ell}(A)\simeq \text{Ell}(B)$.
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