Fréchet 代数与拟同态的次级不变量
K理论与同调
2008-08-18 v2
摘要
赋予乘法凸拓扑的 Fréchet 代数具有两类不变量：同伦不变量（拓扑 K-理论和周期循环同调）与次级不变量（乘法 K-理论和非周期版本的循环同调）。本文旨在建立一个 Riemann-Roch-Grothendieck 定理，该定理关联了在有限可和拟同态下 Fréchet m-代数的同伦不变量与次级不变量的直接像。
引用
@article{arxiv.0804.1042,
title = {Secondary invariants for Frechet algebras and quasihomomorphisms},
author = {Denis Perrot},
journal= {arXiv preprint arXiv:0804.1042},
year = {2008}
}
备注
80 pages. v1: This is essentially the first part of the preprint arXiv:0706.1937, with improvements. v2: minor corrections, almost the published version