An extension of compact operators by compact operators with no nontrivial multipliers
An extension of compact operators by compact operators with no nontrivial multipliers
We construct a noncommutative, separably represented, type I and approximately finite dimensional C^* -algebra such that its multiplier algebra is equal to its unitization. This algebra is an essential extension of the algebra \mathcal K(\ell_2(\mathfrak{c})) of compact operators on a nonseparable Hilbert space by the algebra \mathcal K(\ell_2) of compact …