On the relative and bi-relative K-theory of rings of finite characteristic

Abstract

We prove that the relative K-groups associated with a nilpotent extension of Z/p^N Z-algebras and the bi-relative K-groups associated with a Milnor square of Z/p^N Z-algebras are p-primary torsion groups of bounded exponent. We also show that, in general, the cyclotomic trace map extends from Quillen K-theory to Bass completed non-connective algebraic K-theory.

19 pages

References in corpus (2)

• On the vanishing of negative K-groups
• On the Whitehead spectrum of the circle

Cited by in corpus (5)

• A universal characterization of higher algebraic K-theory
• Algebraic K-theory and descent for blow-ups
• On the K-theory of planar cuspical curves and a new family of polytopes
• K-theory of one-dimensional rings via pro-excision
• On the K-theory of coordinate axes in affine space