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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeApr 11th 2013
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   Author: Urs
   Format: MarkdownItexcreated _[[homotopical structure on C*-algebras]]_ , summarized some central statements from Uuye's article on structure of categories of fibrant objects on $C^\ast Alg$.

   created homotopical structure on C*-algebras , summarized some central statements from Uuye’s article on structure of categories of fibrant objects on $C^\ast Alg$.

2. • CommentRowNumber2.
   • CommentAuthorzskoda
   • CommentTimeApr 11th 2013
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   Author: zskoda
   Format: MarkdownItexI added * Paul Arne Østvær, _Homotopy theory of $C^*$-algebras_, Frontiers in Mathematics, Springer Basel, 2010, [arxiv/0812.0154](http://arxiv.org/abs/0812.0154) to the references.

   I added

   • Paul Arne Østvær, Homotopy theory of $C^*$-algebras, Frontiers in Mathematics, Springer Basel, 2010, arxiv/0812.0154

   to the references.

3. • CommentRowNumber3.
   • CommentAuthorzskoda
   • CommentTimeApr 11th 2013
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   Author: zskoda
   Format: MarkdownItexØstvær's treatise quite closely to the logic in a series of preprints of [[Grigory Garkusha]], see his [publication list](http://maths.swan.ac.uk/staff/gg/publist.html) (for the published papers, the dates of publication are several years after those where posted to the webpage), esp. references 12 and 18-21. I added the following paragraph into [[KK-theory]]: Algebraic analogues of Kasparov K-theory are developed in * [[Grigory Garkusha]], _Algebraic Kasparov K-theory. I_, [pdf](http://maths.swan.ac.uk/staff/gg/papers/AlgKasparov11.pdf), _II_, [pdf](http://front.math.ucdavis.edu/1206.0178)

   Østvær’s treatise quite closely to the logic in a series of preprints of Grigory Garkusha, see his publication list (for the published papers, the dates of publication are several years after those where posted to the webpage), esp. references 12 and 18-21.

   I added the following paragraph into KK-theory:

   Algebraic analogues of Kasparov K-theory are developed in

   • Grigory Garkusha, Algebraic Kasparov K-theory. I, pdf, II, pdf
4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeApr 11th 2013
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   Author: Urs
   Format: MarkdownItexHi Zoran, I was making the distinction between * [[homotopical structure on C*-algebras]] and * [[model structures on operator algebras]] The latter already has the citation to Østvær. The former is meant to be the entry on those homotopical structures which are not model structures.

   Hi Zoran,

   I was making the distinction between

   • homotopical structure on C*-algebras

   and

   • model structures on operator algebras

   The latter already has the citation to Østvær. The former is meant to be the entry on those homotopical structures which are not model structures.