The Grothendieck ring of the category of endomorphisms

DOI10.1016/0021-8693(74)90047-7zbMath0281.18012OpenAlexW1968182815MaRDI QIDQ1843632

Gert Almkvist

Publication date: 1974

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(74)90047-7

Mathematics Subject Classification ID

Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) Grothendieck groups, (K)-theory and commutative rings (13D15)

Related Items (27)

Schatten classes for Hilbert modules over commutative \(C^\ast \)-algebras ⋮ Motivic infinite cyclic covers ⋮ The transfer maps induced in the algebraic \(K_ 0\)- and \(K_ 1\)-groups by a fibration. II ⋮ Witt vectors with coefficients and characteristic polynomials over non-commutative rings ⋮ K-theory of endomorphisms ⋮ Witt vectors, commutative and non-commutative ⋮ The BC-system and \(L\)-functions ⋮ On the Taylor tower of relative \(K\)-theory ⋮ Witt vectors and the field with one element ⋮ The Picard group of a reduced G-algebra ⋮ Whitehead groups of localizations and the endomorphism class group. ⋮ Plethysm and cohomology representations of external and symmetric products ⋮ On the arithmetic of the BC-system ⋮ Zeta functions, Grothendieck groups, and the Witt ring ⋮ Witt vectors and \(K\)-theory of automorphisms via noncommutative motives ⋮ Endomorphism rings of modules and lattices of submodules ⋮ Witt vectors. Part 1 ⋮ Additive invariants of endomorphisms of graded modules ⋮ Grothendieck rings and witt vectors ⋮ 𝐾-theory of endomorphisms via noncommutative motives ⋮ The K-theory of endomorphisms ⋮ Weight structures vs.t-structures; weight filtrations, spectral sequences, and complexes (for motives and in general) ⋮ \(K\)-theory of affine actions ⋮ Operations in the K-theory of endomorphisms ⋮ Descent for the K-theory of polynomial rings ⋮ Witt vectors which are rational functions ⋮ Bemerkungen zur K-Theorie äquivarianter Endomorphismen. (Remarks on the K-theory of equivariant endomorphisms)

Cites Work

• Unnamed Item
• Endomorphisms of finitely generated projective modules over a commutative ring
• Generalizations of the notion of class group
• Some exact sequences in algebraic K-theory
• Euler characteristics
• Einige Anwendungen der G-Funktion von MacRae

This page was built for publication: The Grothendieck ring of the category of endomorphisms