JournalsjncgVol. 7, No. 4pp. 981–1006

Homotopical algebra for C*-algebras

  • Otgonbayar Uuye

    University of Copenhagen, Denmark
Homotopical algebra for C*-algebras cover
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Abstract

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 of these can be expressed as the homotopy theory of a category of fibrant objects.

Cite this article

Otgonbayar Uuye, Homotopical algebra for C*-algebras. J. Noncommut. Geom. 7 (2013), no. 4, pp. 981–1006

DOI 10.4171/JNCG/141