Winges, Christoph: Filtering the assembly map in algebraic K-theory and transfer reducibility of Z n Z. 2014
Inhalt
- Introduction
- I Filtering the Assembly Map in Algebraic K-Theory
- 1 Preliminaries
- 1.1 Waldhausen categories and algebraic K-theory
- 1.2 Constructions on simplicial sets and spectra
- 1.3 Models for the K-theory of additive categories
- 2 Filtering the algebraic K-theory of group rings
- 2.1 The category WG(X;K)
- 2.2 The forgetful functor MVG(X) Ch(A[G])
- 2.3 A glimpse of a spectral sequence
- 3 Filtering the assembly map
- A The homotopy fibration of a filtering subcategory
- B Maps of Grothendieck constructions
- C Representing elements in the K1-group of an additive category
- II Transfer Reducibility of Zn Z