Geodesic
Exact sequences in the enchilada category
Theory and applications of categories, Tome 35 (2020), pp. 350-370 Cet article a éte moissonné depuis la source Theory and Applications of Categories website

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We define exact sequences in the enchilada category of C*-algebras and correspondences, and prove that the reduced-crossed-product functor is not exact for the enchilada categories. Our motivation was to determine whether we can have a better understanding of the Baum-Connes conjecture by using enchilada categories. Along the way we prove numerous results showing that the enchilada category is rather strange.

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Classification : Primary 46L55, Secondary 18B99
Keywords: short exact sequence, C*-correspondence, exact functor, crossed product 
@article{TAC_2020_35_a11,
     author = {M. Ery\"uzl\"u and S. Kaliszewski and John Quigg},
     title = {Exact sequences in the enchilada category},
     journal = {Theory and applications of categories},
     pages = {350--370},
     year = {2020},
     volume = {35},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2020_35_a11/}
}
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M. Eryüzlü; S. Kaliszewski; John Quigg. Exact sequences in the enchilada category. Theory and applications of categories, Tome 35 (2020), pp. 350-370. http://geodesic.mathdoc.fr/item/TAC_2020_35_a11/