The **Tannaka-Krein theorem** (in the narrow sense) is a particular Tannaka duality theorem for compact topological groups.

The original theorem is (in two independent and different formulations) stated and proved in

- Tadao Tannaka,
*Über den Dualitätssatz der nichtkommutativen topologischen Gruppen*, Tohoku Math. J. 45 (1938), n. 1, 1–12 (project euclid has only Tohoku new series!) - M.G. Krein,
*A principle of duality for bicompact groups and quadratic block algebras*, Doklady AN SSSR**69**(1949), 725–728.

For a textbook treatment see

- E. Hewitt, K. A. Ross,
*Abstract harmonic analysis*, 2 vols.

See also

- A. L. Rosenberg,
*Reconstruction of groups*, Selecta Math. N.S. 9:1 (2003) doi

Last revised on August 23, 2023 at 05:21:47. See the history of this page for a list of all contributions to it.