I'm not an expert but I don't think there is a `right one', it depends on what you want to do with your C*-algebras. The maximal C*-norm has better universal properties than the minimal one (it seems) but the resulting C*-algebra is then somewhat hard to get at. Actually, I'm not sure what significance the tensor product of _algebras_ (as opposed to _modules_) has. Of course for commutative unital algebras this is the coproduct, but commutative C*-algebras have unique C*-tensor norms anyway. On 28/04/07, Bas Spitters <B.Spitters@cs.ru.nl> wrote:
It seems hard to find references to a categorical treatment of C*-algebras. Concretely, there are several tensor products on C*-algebras. Which one is `the right one' from a categorical perspective?
Thanks,
Bas Spitters
-- Dr. Y. Choi 519 Machray Hall Department of Mathematics University of Manitoba Winnipeg. Manitoba Canada R3T 2N2