K-Theory for Triangulated Categories III(A): The Theorem of the Heart

1999/01/21 by Amnon Neeman
Mathematics · #math.CT

paper · pdf

published as Asian Journal of Mathematics Volume 2 number 3 p 495-589 · 94 pages

arxiv created 1999/01/21 · arxiv updated 2009/11/30

Abstract

This is the fourth installment of a series. The main point of the entire series is the following: given a triangulated category T, it is possible to attach to it a K-theory space.

Related

• A remark on K-theory and S-categories
• General heart construction on a triangulated category (I): unifying t-structures and cluster tilting subcategories
• Systems of Diagram Categories and K-theory I
• A Theorem of the Heart for K-theory of Endomorphisms
• Completions of triangulated categories