Algebraic K-theory encodes important invariants for several mathematical disciplines,
spanning from geometric topology and functional analysis to number theory and algebraic …

Page 1 PURE AND APPLIED MATHEMATICS A Series of Monographs and Textbooks LINEAR
ALGEBRA OVER COMMUTATIVE RINGS Bernard R. McDonald Page 2 Linear Algebra Over …

In this paper all rings will be assumed to be commutative and with identity element. A ring A
is said to be K.-regular if for all r one has K,(A)~ K,(A [Ta,..., T~]). One of our main results is …

We consider a filtration of the K-theory space for a regular noetherian ring proposed by
Goodwillie and Lichtenbaum and show that its successive quotients are geometric …

K-Theory of Endomorphisms O+M’-+M--+M”-+O 0-M’AMAM”-0 308 Page 1 JOURNAL OF
ALGEBRA 55, 308-340 (1978) K-Theory of Endomorphisms GERT ALMKVIST Lunds …

Supposefis a diffeomorphism of a compact smooth manifold M. A point x in M is said to
wander if it has a neighborhood I/so UOf “c/= 0 for all n# O. The condition that f be Morse …

250 GRAYSON category & is equipped with the usual notions of short exact sequence,
tensor product, and exterior product. The Grothendieck group KO A= KgA becomes a A-ring …

We construct geometric lifts of the Bost–Connes algebra to Grothendieck rings and to the
associated assembler categories and spectra, as well as to certain categories of Nori …

It has long been suspected that the conjectural motivic cohomology groups of a smooth
variety X are related to the algebraic K-groups of X. Explicitly, it is expected that there is a …

We extend the $ K $-theory of endomorphisms functor from ordinary rings to (stable) $\infty $-
categories. We show that $\mathrm {KEnd}(-) $ descends to the category of noncommutative …