The weight and rank filtrations

2021/10/23 by John Rognes, Rognes, John
Mathematics · #Algebraic Topology (math.AT) #FOS: Mathematics #K-Theory and Homology (math.KT) #math.AT #math.KT

paper · pdf · doi:10.48550/arxiv.2110.12264

arxiv created 2021/10/23 · arxiv updated 2021/10/26

Abstract

We compare the weight and stable rank filtrations of algebraic K-theory, and relate the Beilinson-Soulé vanishing conjecture to the author's connectivity conjecture.

Related

• A stable rank filtration on direct sum K-theory
• Augmented Gamma-spaces, the stable rank filtration, and a bu-analogue of the Whitehead Conjecture
• Algebraic K-Theory
• The Stable Rank of Topological Algebras and a Problem of R.G. Swan
• Commuting varieties and the rank filtration of topological K-theory