Re: C*-algebras

["Yemon Choi" <y.choi.97@cantab.net>]

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
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Department of Mathematics
University of Manitoba
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