Talk:Exact C*-algebra

Nuclearity and exactness

Hm, nuclearity implies exactness, not the other way around. In terms of CP approximations, exactness means nuclear embeddability into B(H). For nuclearity, we can replace B(H) by the algebra itself. Mct mht (talk) 06:09, 19 August 2012 (UTC)

see also section

Not fussed that the links I added have been subtracted, but could you at least insert a "see also" section with links that are relevant? It's all part of making articles accessible. Thanks. Maschen (talk) 07:09, 10 September 2012 (UTC)

Thanks for your help moving the page, Maschen. As for the see also's, all the relevant articles are already linked to in the text. Our coverage of C*-algebraic topics has a lot of room for growth. Mct mht (talk) 08:14, 10 September 2012 (UTC)

No problem, and thank you for clarifying. Maschen (talk) 08:16, 10 September 2012 (UTC)

\otimes_\min

Please don't write \otimes_{\mbox{min}}. \min is already a standard operator name. Just write \otimes_\min. You don't even need {braces} around it since it's a single item. Michael Hardy (talk) 16:55, 10 September 2012 (UTC)

My bad. Mct mht (talk) 02:36, 11 September 2012 (UTC)

References

The O₂ embedding theorems in the characterization is due to Eberhard Kirchberg, and I believe so is B(H) nuclear embedding theorem. They should be referenced. I will dig them up if someone doesn't beat me to it. Mct mht (talk) 03:43, 11 September 2012 (UTC)