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\(K_2\) and the \(K\)-theory of automorphisms. (English) Zbl 0413.18011


MSC:

18F25 Algebraic \(K\)-theory and \(L\)-theory (category-theoretic aspects)
18E10 Abelian categories, Grothendieck categories
16Gxx Representation theory of associative rings and algebras
18G05 Projectives and injectives (category-theoretic aspects)
Full Text: DOI

References:

[1] Grayson, D., Higher algebraic K-theory: II [after Daniel Quillen], (Proceedings of the k-theory Conference. Proceedings of the k-theory Conference, Northwestern, January, 1976. Proceedings of the k-theory Conference. Proceedings of the k-theory Conference, Northwestern, January, 1976, Lecture Notes in Mathematics (1976), Springer-Verlag: Springer-Verlag Berlin)
[2] Grayson, D., The K-theory of hereditary categories, J. Pure Appl. Algebra, 11, 67-74 (1977) · Zbl 0372.18004
[3] Grayson, D., The K-theory of endomorphisms, J. Algebra, 48, 439-446 (1977) · Zbl 0413.18010
[4] Milnor, J., Introduction to Algebraic K-theory, (Ann. of Math. Study No. 72 (1971), Princeton Univ. Press: Princeton Univ. Press Princeton, N. J) · Zbl 0237.18005
[5] Quillen, D., Higher algebraic K-theory, I, (Algebraic K-theory. Algebraic K-theory, Lecture Notes in Mathematics No. 341, Vol. I (1973), Springer-Verlag: Springer-Verlag Berlin) · Zbl 0292.18004
[6] Waldhausen, F., Algebraic K-theory of generalized free products, Ann. of Math., 108, 135-256 (1978) · Zbl 0407.18009
[7] Loday, J.-L, K-théorie algébrique et représentations de groupes, Ann. Sci. Ecole Norm. Sup., 4ème série, 9, No. 3 (1976) · Zbl 0362.18014
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