Abstract
In this paper, we consider Rota–Baxter operators on involutive asso-ciative algebras. We define cohomology for Rota–Baxter operators on involutivealgebras that governs the formal deformation of the operator. This cohomologycan be seen as the Hochschild cohomology of a certain involutive associativealgebra with coefficients in a suitable involutive bimodule. We also relate thiscohomology with the cohomology of involutive dendriform algebras. Finally, we show that the standard Fard–Guo construction of the functor from the category of dendriform algebras to the category of Rota–Baxter algebras restricts to the involutive case.
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Das, A. Rota–Baxter operators on involutive associative algebras. ActaSci.Math. 87, 349–366 (2021). https://doi.org/10.14232/actasm-020-616-0
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DOI: https://doi.org/10.14232/actasm-020-616-0