Some Bialgebroids Constructed by Kadison and Connes–Moscovici are Isomorphic |
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| Authors: | Florin Panaite Freddy Van Oystaeyen |
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| Affiliation: | (1) Institute of Mathematics of the Romanian Academy, PO-Box 1-764, RO-014700 Bucharest, Romania;(2) Department of Mathematics and Computer Science, University of Antwerp, Middelheimlaan 1, B-2020 Antwerp, Belgium |
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| Abstract: | We prove that a certain bialgebroid introduced recently by Kadison is isomorphic to a bialgebroid introduced earlier by Connes and Moscovici. At the level of total algebras, the isomorphism is a consequence of the general fact that an L-R-smash product over a Hopf algebra is isomorphic to a diagonal crossed product. |
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| Keywords: | bialgebroid L-R-smash product Cibils– Rosso algebra |
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