Abstract
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.
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I thank the anonymous referee for useful comments improving the presentation of the paper.
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Brudnyi, A. On Homotopy Invariants of Tensor Products of Banach Algebras. Integr. Equ. Oper. Theory 92, 19 (2020). https://doi.org/10.1007/s00020-020-02575-8
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DOI: https://doi.org/10.1007/s00020-020-02575-8
Keywords
- Banach algebra
- Maximal ideal space
- Tensor product
- Left invertible element
- Idempotent
- Homotopy equivalence