K-theory and perfection
K-Theory and Homology
2023-04-05 v1
Authors:
Kevin Coulembier
Abstract
We review some recent results on K-theory of perfection of commutative \mFp-algebras and provide an alternative proof.
Keywords
Cite
@article{arxiv.2304.01421,
title = {K-theory and perfection},
author = {Kevin Coulembier},
journal= {arXiv preprint arXiv:2304.01421},
year = {2023}
}
Related papers
View all related →
Algebraic Geometry · Mathematics
Equivariant $K$-theory, affine Grassmannian and perfection
Jakub Löwit
2026-04-20
K-Theory and Homology · Mathematics
$K$-Theory of Cuspidal Curves Over a Perfectoid Base And Formal Analogues
Noah Riggenbach
2022-04-01
Algebraic Topology · Mathematics
Derived completions in stable homotopy theory
Gunnar Carlsson
2007-07-18
Representation Theory · Mathematics
Representations of finite groups on modules over K-theory (with an appendix by Akhil Mathew)
David Treumann
2015-03-10
K-Theory and Homology · Mathematics
Algebraic K-theory of completed Kac-Moody groups
Arthur Bartels, Wolfgang Lueck, Stefan Witzel
2024-12-09
K-Theory and Homology · Mathematics
Algebraic proofs of some fundamental theorems in algebraic $K$-theory
Tom Harris
2013-11-21
q-alg · Mathematics
K-Theory of Noncommutative Lattices
Elisa Ercolessi, Giovanni Landi, Paulo Teotonio-Sobrinho
2008-02-03
Operator Algebras · Mathematics
The KK-Theory of Fundamental C*-Algebras
Fima Pierre, Germain Emmanuel
2016-12-28
Commutative Algebra · Mathematics
Perfectoid spaces and the homological conjectures
Yves Andre
2018-01-31
K-Theory and Homology · Mathematics
The K-theory of perfectoid rings
Benjamin Antieau, Akhil Mathew, Matthew Morrow
2022-03-15
K-Theory and Homology · Mathematics
Generalized homomorphisms and KK with extra structure
Joachim Cuntz, James Gabe
2024-04-11
K-Theory and Homology · Mathematics
On The Algebraic $K$-Theory of Double Points
Noah Riggenbach
2023-08-28
K-Theory and Homology · Mathematics
Multiplicative structures on algebraic K-theory
C. Barwick
2014-07-17
K-Theory and Homology · Mathematics
Algebraic K-theory view on KK-theory
Tamaz Kandelaki
2007-05-23
K-Theory and Homology · Mathematics
$p$-perfection and group completion of $\mathbb{E}_\infty$-monoids
Maxime Ramzi, Maria Yakerson
2025-05-13
K-Theory and Homology · Mathematics
On the $K$-theory in splitexact algebraic $KK$-theory
Bernhard Burgstaller
2024-10-08
K-Theory and Homology · Mathematics
Regular Algebraic $K$-Theory for groups -- Part II
Ulrich Haag
2024-10-11
Rings and Algebras · Mathematics
Noncommutative Complete Intersections
Ellen E Kirkman, James Kuzmanovich, James J. Zhang
2014-06-25
Representation Theory · Mathematics
K-theoretic Hall algebras, quantum groups and super quantum groups
Michela Varagnolo, Eric Vasserot
2022-03-30
K-Theory and Homology · Mathematics
Regular Algebraic $K$-theory for groups -- Part I
Ulrich Haag
2024-10-02
Category Theory · Mathematics
A variant of algebraic K-theory
Sanath Devalapurkar
2016-05-27
Functional Analysis · Mathematics
The Perfekt theory of $M$-ideals
Dirk Werner
2021-05-07
Operator Algebras · Mathematics
The K-Theory of a Simple Separable Exact C*-Algebra Not Isomorphic to Its Opposite Algebra
N. Christopher Phillips, Maria Grazia Viola
2024-02-14
Operator Algebras · Mathematics
The K-theory of Cuntz-Krieger algebras for infinite matrices
Ruy Exel, Marcelo Laca
2007-05-23
Operator Algebras · Mathematics
Ideal related K-theory with coefficients
Søren Eilers, Gunnar Restorff, Efren Ruiz
2021-09-20