A note on Taylor's Brauer group

Caenepeel, S;Grandjean, F
(1998) Pacific Journal of Mathematics — Vol. 186, n° 1, p. 13-27 (1998)

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  • Caenepeel, S
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  • Grandjean, F
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Abstract
We make clear that some of the properties of central separable algebras without unit, as announced by Taylor and Raeburn, are only valid under the assumption that the algebra in question is fiat. This leads to the introduction of two possibly different versions of the big Brauer group. Both of them inject into the second etale cohomology group, and one of them is isomorphic to it.
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Caenepeel, S., & Grandjean, F. (1998). A note on Taylor’s Brauer group. Pacific Journal of Mathematics, 186(1), 13-27. https://doi.org/10.2140/pjm.1998.186.13 (Original work published 1998)