Automatic continuity for the unitary group
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Abstract:
We show that every homomorphism from the infinite-dimensional unitary or orthogonal group to a separable group is continuous.References
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Additional Information
- Todor Tsankov
- Affiliation: Institut de Mathématiques de Jussieu, case 7012, Université Paris 7, 75205 Paris Cedex 13, France
- MR Author ID: 781832
- Email: todor@math.jussieu.fr
- Received by editor(s): September 6, 2011
- Received by editor(s) in revised form: December 23, 2011
- Published electronically: June 21, 2013
- Additional Notes: This research was partially supported by the ANR network AGORA, NT09-461407.
- Communicated by: Thomas Schlumprecht
- © Copyright 2013
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 141 (2013), 3673-3680
- MSC (2010): Primary 54H12
- DOI: https://doi.org/10.1090/S0002-9939-2013-11666-7
- MathSciNet review: 3080189