Exact sequences in the enchilada category

M. Eryüzlü, S. Kaliszewski, John Quigg

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish (US)
Article number12
Pages (from-to)350-370
Number of pages21
JournalTheory and Applications of Categories
Volume35
StatePublished - 2020

Keywords

  • C-correspondence
  • Crossed product
  • Exact functor
  • Short exact sequence

ASJC Scopus subject areas

  • Mathematics (miscellaneous)

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