The additivity of traces in triangulated categories

Authors
May, JP
Citation
Jp. May, The additivity of traces in triangulated categories, ADV MATH, 163(1), 2001, pp. 34-73
Citations number
17
Categorie Soggetti
Mathematics
Journal title
ADVANCES IN MATHEMATICS
ISSN journal
00018708 → ACNP
Volume
163
Issue
1
Year of publication
2001
Pages
34 - 73
Database
ISI
SICI code
0001-8708(20011015)163:1<34:TAOTIT>2.0.ZU;2-L
Abstract
We explain a fundamental additivity theorem for Euler characteristics and g eneralized trace maps in triangulated categories, The proof depends on a re fined axiomatization of symmetric monoidal categories with a compatible tri angulation. The refinement consists of several new axioms relating products and distinguished triangles. The axioms hold in the examples and shed ligh t on generalized homology and cohomology theories. (C) 2001 Academic Press.