On Homotopy Invariants of Tensor Products of Banach Algebras

被引：3

作者：

Brudnyi, Alexander ^{[1
]}

机构：

[1] Univ Calgary, Dept Math & Stat, Calgary, AB T2N 1N4, Canada

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 2020年 / 92卷 / 02期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Banach algebra; Maximal ideal space; Tensor product; Left invertible element; Idempotent; Homotopy equivalence;

D O I：

10.1007/s00020-020-02575-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We generalize results of Davie and Raeburn describing homotopy types of the group of invertible elements and of the set of idempotents of the projective tensor product of complex unital Banach algebras. We illustrate our results by specific examples.

引用

页数：14

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