Pontryagin duality for topological modules
HTML articles powered by AMS MathViewer
- by Joe Flood
- Proc. Amer. Math. Soc. 75 (1979), 329-333
- DOI: https://doi.org/10.1090/S0002-9939-1979-0532161-7
- PDF | Request permission
Abstract:
A Pontryagin duality for topological modules over any locally compact ring is described, using the Pontryagin dual of the ring as character module.References
- Oscar Goldman and Chih-han Sah, Locally compact rings of special type, J. Algebra 11 (1969), 363–454. MR 236232, DOI 10.1016/0021-8693(69)90065-9 E. Hewitt and K. A. Ross, Abstract harmonic analysis. I, Springer-Verlag, Berlin, 1963.
- Irving Kaplansky, Locally compact rings, Amer. J. Math. 70 (1948), 447–459. MR 24887, DOI 10.2307/2372343
- Martin D. Levin, Locally compact modules, J. Algebra 24 (1973), 25–55. MR 310125, DOI 10.1016/0021-8693(73)90151-8
- Saunders MacLane, Categories for the working mathematician, Graduate Texts in Mathematics, Vol. 5, Springer-Verlag, New York-Berlin, 1971. MR 0354798
- Gerald C. Preston, On locally compact totally disconnected Abelian groups and their character groups, Pacific J. Math. 6 (1956), 121–134. MR 79219
- Marianne Freundlich Smith, The Pontrjagin duality theorem in linear spaces, Ann. of Math. (2) 56 (1952), 248–253. MR 49479, DOI 10.2307/1969798
Bibliographic Information
- © Copyright 1979 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 75 (1979), 329-333
- MSC: Primary 22D35
- DOI: https://doi.org/10.1090/S0002-9939-1979-0532161-7
- MathSciNet review: 532161