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Handbook of K-Theory pp 1011–1078Cite as

The K-Theory of Triangulated Categories

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Abstract

The purpose of this survey is to explain the open problems in the K-theory of triangulated categories. The survey is intended to be very easy for non-experts to read; I gave it to a couple of fourth-year undergraduates, who had little trouble with it. Perhaps the hardest part is the first section, which discusses the history of the subject. It is hard to give a brief historical account without assuming prior knowledge. The students are advised to skip directly to Sect. 4.2.

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Authors and Affiliations

  1. Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University, John Dedman Building, 0200, Canberra, ACT, Australia

    Amnon Neeman

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  1. Amnon Neeman
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  1. Department of Mathematics, Northwestern University, 60208, Evanston, IL, USA

    Eric M. Friedlander

  2. Department of Mathematics, University of Illinois at Urbana-Champaign, 61801, Urbana, IL, USA

    Daniel R. Grayson

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Neeman, A. (2005). The K-Theory of Triangulated Categories. In: Friedlander, E., Grayson, D. (eds) Handbook of K-Theory. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-27855-9_20

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