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Homotopical algebra for C*-algebras

Homotopical algebra for C*-algebras

The category of fibrant objects is a convenient framework to do homotopy theory, introduced and developed by Ken Brown. In this paper, we apply it to the category of C*-algebras. In particular, we get a unified treatment of (ordinary) homotopy theory for C ^* -algebras, KK-theory and E-theory, since all …