SMOOTH K-THEORY OF LOCALLY CONVEX ALGEBRAS

被引：3

作者：

Inassaridze, Hvedri ^{[1
]}

Kandelaki, Tamaz

机构：

[1] A Razmadze Math Inst, Dept Algebra, GE-0193 Tbilisi, Georgia

来源：

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | 2011年 / 13卷 / 04期

关键词：

Smooth map; approximate unit; locally convex algebra; smooth homotopy; Frechet algebra; algebraic K-functor; FACTORIZATION; EXCISION;

D O I：

10.1142/S0219199711004312

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Smooth K-functors are introduced and the smooth K-theory of locally convex algebras is developed. It is proved that the algebraic and smooth K-functors are isomorphic on the category of quasi (circle times) over cap -stable real (or complex) Frechet algebras.

引用

页码：553 / 577

页数：25

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