A universal characterization of higher algebraic K-theory

@article{Blumberg2010AUC,
  title={A universal characterization of higher algebraic K-theory},
  author={Andrew J. Blumberg and David Gepner and Gonçalo Tabuada},
  journal={arXiv: K-Theory and Homology},
  year={2010}
}
  • Andrew J. Blumberg, David Gepner, Gonçalo Tabuada
  • Published 2010
  • Mathematics
  • arXiv: K-Theory and Homology
  • In this paper we establish a universal characterization of higher algebraic K-theory in the setting of small stable infinity categories. Specifically, we prove that connective algebraic K-theory is the universal additive invariant, i.e., the universal functor with values in spectra which inverts Morita equivalences, preserves filtered colimits, and satisfies Waldhausen's additivity theorem. Similarly, we prove that non-connective algebraic K-theory is the universal localizing invariant, i.e… CONTINUE READING

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