A short proof of the Dawkins-Halperin theorem
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- by David Handelman PDF
- Proc. Amer. Math. Soc. 68 (1978), 387-389 Request permission
Abstract:
A brief proof is presented, of the Dawkins-Halperin Theorem, that if D is a finite dimensional division algebra with centre F, then the direct limits of appropriately-sized matrix rings over D and F are isomorphic; the isomorphism can be given in a form suitable for comparing cohomology groups of D and F.References
- Brian P. Dawkins and Israel Halperin, The isomorphism of certain continuous rings, Canadian J. Math. 18 (1966), 1333–1344. MR 201471, DOI 10.4153/CJM-1966-131-4
- S. Green, D. Handelman, and P. Roberts, $K$-theory of finite dimensional division algebras, J. Pure Appl. Algebra 12 (1978), no. 2, 153–158. MR 480698, DOI 10.1016/0022-4049(78)90030-0
- I. N. Herstein, Noncommutative rings, The Carus Mathematical Monographs, No. 15, Mathematical Association of America; distributed by John Wiley & Sons, Inc., New York, 1968. MR 0227205
Additional Information
- © Copyright 1978 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 68 (1978), 387-389
- MSC: Primary 16A40
- DOI: https://doi.org/10.1090/S0002-9939-1978-0466212-4
- MathSciNet review: 0466212