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 Mat. Zametki, 1999, Volume 65, Issue 6, Pages 908–920 (Mi mz1126)

Rigidity and approximation of quasirepresentations of amenable groups

A. I. Shtern

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

DOI: https://doi.org/10.4213/mzm1126

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English version:
Mathematical Notes, 1999, 65:6, 760–769

Bibliographic databases:

UDC: 512.546.4
Revised: 09.10.1998

Citation: A. I. Shtern, “Rigidity and approximation of quasirepresentations of amenable groups”, Mat. Zametki, 65:6 (1999), 908–920; Math. Notes, 65:6 (1999), 760–769

Citation in format AMSBIB
\Bibitem{Sht99} \by A.~I.~Shtern \paper Rigidity and approximation of quasirepresentations of amenable groups \jour Mat. Zametki \yr 1999 \vol 65 \issue 6 \pages 908--920 \mathnet{http://mi.mathnet.ru/mz1126} \crossref{https://doi.org/10.4213/mzm1126} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=1728290} \zmath{https://zbmath.org/?q=an:0952.43002} \transl \jour Math. Notes \yr 1999 \vol 65 \issue 6 \pages 760--769 \crossref{https://doi.org/10.1007/BF02675591} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000083786600032} 

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. V. G. Kanovei, M. Reeken, “On Ulam's Problem of Stability of Non-exact Homomorphisms”, Proc. Steklov Inst. Math., 231 (2000), 238–270
2. Shtern, AI, “A criterion for the second real continuous bounded cohomology of a locally compact group to be finite-dimensional”, Acta Applicandae Mathematicae, 68:1–3 (2001), 105
3. A. I. Shtern, “Criteria for weak and strong continuity of representations of topological groups in Banach spaces”, Sb. Math., 193:9 (2002), 1381–1396
4. Shtern, AI, “Continuity of Banach representations in terms of point variations”, Russian Journal of Mathematical Physics, 9:2 (2002), 250
5. A. I. Shtern, “Weak and strong continuity of representations of topologically pseudocomplete groups in locally convex spaces”, Sb. Math., 197:3 (2006), 453–473
6. A. I. Shtern, “Kazhdan–Milman problem for semisimple compact Lie groups”, Russian Math. Surveys, 62:1 (2007), 113–174
7. A. I. Shtern, “Finite-dimensional quasirepresentations of connected Lie groups and Mishchenko's conjecture”, J. Math. Sci., 159:5 (2009), 653–751
8. Shtern AI, “Quasisymmetry. II”, Russian Journal of Mathematical Physics, 14:3 (2007), 332–356
9. Shtern AI, “Stability of the van der Waerden theorem on the continuity of homomorphisms of compact semisimple Lie groups”, Applied Mathematics and Computation, 187:1 (2007), 455–465
10. A. I. Shtern, “A version of van der Waerden's theorem and a proof of Mishchenko's conjecture on homomorphisms of locally compact groups”, Izv. Math., 72:1 (2008), 169–205
11. Shtern, AI, “Structure of finite-dimensional locally bounded finally precontinuous quasirepresentations of locally compact groups”, Russian Journal of Mathematical Physics, 16:1 (2009), 133
12. A. I. Shtern, “Duality between compactness and discreteness beyond Pontryagin duality”, Proc. Steklov Inst. Math., 271 (2010), 212–227
13. Shtern A.I., “Quasirepresentations of Amenable Groups: Results, Errors, and Hopes”, Russ. J. Math. Phys., 20:2 (2013), 239–253
14. Burger M., Ozawa N., Thom A., “On Ulam Stability”, Isr. J. Math., 193:1 (2013), 109–129
15. Shtern A.I., “On a Class of Quasirepresentations”, Russ. J. Math. Phys., 21:4 (2014), 549–552
16. Shtern A.I., “Exponential Stability of Quasihomomorphisms Into Banach Algebras and a Ger-Emrl Theorem”, Russ. J. Math. Phys., 22:1 (2015), 141–142
17. Moore C., Russell A., “Approximate Representations, Approximate Homomorphisms, and Low-Dimensional Embeddings of Groups”, SIAM Discret. Math., 29:1 (2015), 182–197
18. Fujiwara K., Kapovich M., “On quasihomomorphisms with noncommutative targets”, Geom. Funct. Anal., 26:2 (2016), 478–519
19. W. T. Gowers, O. Hatami, “Inverse and stability theorems for approximate representations of finite groups”, Sb. Math., 208:12 (2017), 1784–1817
20. Shtern I A., “Continuity Conditions For Finite-Dimensional Locally Bounded Representations of Connected Locally Compact Groups”, Russ. J. Math. Phys., 25:3 (2018), 345–382
21. De Chiffre M., Ozawa N., Thom A., “Operator Algebraic Approach to Inverse and Stability Theorems For Amenable Groups”, Mathematika, 65:1 (2019), 98–118
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