Let $\kappa$ be an uncountable cardinal. What is the K-theory for the C*-algebras $\mathcal{K}(\ell_2(\kappa))$ and $\mathcal{B}(\ell_2(\kappa))$, of, respectively, compact and bounded operators on $\ell_2(\kappa)$?
K-theory for non-separable C*-algebras
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operator-algebras
c-star-algebras
topological-k-theory
k-theory