The closure of two-sided multiplications on C*-algebras and phantom line bundles

Ilja Gogić, Richard M. Timoney

For a C*-algebra A we consider the problem of when the set $T{M}_0(A)$ of all two-sided multiplications $x\mapsto axb$ ($a,b\in A$) on A is norm closed, as a subset of B(A). We fir…