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On Homotopy Invariants of Tensor Products of Banach Algebras

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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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Acknowledgements

I thank the anonymous referee for useful comments improving the presentation of the paper.

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  1. Department of Mathematics and Statistics, University of Calgary, Calgary, AB, T2N 1N4, Canada

    Alexander Brudnyi

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  1. Alexander Brudnyi
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Correspondence to Alexander Brudnyi.

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Research supported in part by NSERC.

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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

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