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.

中文翻译：

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Banach代数张量积的同伦不变量

我们概括了 Davie 和 Raeburn 描述可逆元素群的同伦类型和复单位 Banach 代数的投影张量积的幂等类型的结果。我们通过具体的例子来说明我们的结果。