Department of Mathematics, University of Rome ``Tor Vergata", Via della Ricerca Scientifica, 00133 Rome, Italy
Abstract:
The goal of the paper is to prove the following theorem: if , are unital -algebras, simple and nuclear, then any -subalgebra of the -tensor product of and , which contains the tensor product of with the scalar multiples of the unit of , splits in the -tensor product of with some -subalgebra of .