C⁎-stability of discrete groups

Arzhantseva, 2014, Asymptotic approximations of finitely generated groups, vol. 1, 7 Arzhantseva, 2015, Almost commuting permutations are near commuting permutations, J. Funct. Anal., 269, 745, 10.1016/j.jfa.2015.02.013 Becker, 2020, Group stability and property (T), J. Funct. Anal., 278, 10.1016/j.jfa.2019.108298 Becker, 2020, Abelian groups are polynomially stable, Int. Math. Res. Not., 10.1093/imrn/rnaa017 Becker, 2019, Stability and invariant random subgroups, Duke Math. J., 168, 2207, 10.1215/00127094-2019-0024 Bieberbach, 1912, Über die Bewegungsgruppen der Euklidischen Räume (Zweite Abhandlung.) Die Gruppen mit einem endlichen Fundamentalbereich, Math. Ann., 72, 400, 10.1007/BF01456724 Blackadar, 1985, Shape theory for C⁎-algebras, Math. Scand., 56, 249, 10.7146/math.scand.a-12100 Blackadar, 2004, Semiprojectivity in Simple C⁎-Algebras, vol. 38, 1 Blackadar, 1997, Generalized inductive limits of finite-dimensional C⁎-algebras, Math. Ann., 307, 343, 10.1007/s002080050039 Brenken, 1995, K-groups of solenoidal algebras I, Proc. Am. Math. Soc., 123, 1457 Brown, 2004, On quasidiagonal C⁎-algebras, vol. 38, 19 Connes, 1990, Déformations, morphismes asymptotiques et K-théorie bivariante, C. R. Acad. Sci. Paris, Ser. I, 311, 101 Connes, 1990, Conjecture de Novikov et fibrés presques plats, C. R. Acad. Sci. Paris, Ser. I, 310, 273 Coxeter, 1980, Generators and Relations for Discrete Groups, vol. 14 Dadarlat, 2014, Group quasi-representations and almost flat bundles, J. Noncommut. Geom., 8, 163, 10.4171/JNCG/152 M. Dadarlat, Obstructions to matricial stability of discrete groups, Private communication. Davidson, 1985, Almost commuting Hermitian matrices, Math. Scand., 56, 222, 10.7146/math.scand.a-12098 de Chiffre Eilers, 1999, Computing contingencies for stable relations, Int. J. Math., 10, 301, 10.1142/S0129167X99000112 Eilers, 1998, Stability of anticommutation relations. An application of noncommutative CW complexes, J. Reine Angew. Math., 499, 101 Enders, 2016, A characterization of semiprojectivity for subhomogeneous C⁎-algebras, Doc. Math., 21, 987, 10.4171/dm/551 Exel, 1989, Almost commuting unitary matrices, Proc. Am. Math. Soc., 106, 913, 10.1090/S0002-9939-1989-0975641-9 Filonov Garreta, 2017, Random nilpotent groups, polycyclic presentations, and Diophantine problems, Groups Complex. Cryptol., 9, 99 Glebsky Glebsky, 2009, Almost solutions of equations in permutations, Taiwan. J. Math., 13, 493, 10.11650/twjm/1500405351 Haagerup, 2005, A new application of random matrices: Ext(Cred⁎(F2)) is not a group, Ann. Math. (2), 162, 711, 10.4007/annals.2005.162.711 Hadwin, 2009, A note on approximate liftings, Oper. Matrices, 3, 125, 10.7153/oam-03-06 Hadwin, 2018, Stability of group relations under small Hilbert-Schmidt perturbations, J. Funct. Anal., 275, 761, 10.1016/j.jfa.2018.05.006 Hadwin, 2018, Tracial stability for C⁎-algebras, Integral Equ. Oper. Theory, 1, 1, 10.1007/s00020-018-2430-1 Halmos, 1976, Some unsolved problems of unknown depth about operators on Hilbert space, Proc. R. Soc. Edinb., Sect. A, 76, 67, 10.1017/S0308210500019491 Hatcher, 2002 Hyers, 1941, On the stability of the linear functional equation, Proc. Natl. Acad. Sci. USA, 27, 222, 10.1073/pnas.27.4.222 Jennings, 1955, The group ring of a class of infinite nilpotent groups, Can. J. Math., 7, 169, 10.4153/CJM-1955-022-5 Karrass, 1973, Finite and infinite cyclic extensions of free groups, J. Aust. Math. Soc., 16, 458, 10.1017/S1446788700015445 Kim, 2002, Separability properties of certain tree products of groups, J. Algebra, 251, 323, 10.1006/jabr.2001.9134 S. Knudby, S. Raum, H. Thiel, S. White, On C⁎-superrigidity of virtually Abelian groups, Private communication. Lin, 1997, Almost commuting selfadjoint matrices and applications, vol. 13, 193 Loring, 1997, Lifting Solutions to Perturbing Problems in C⁎-Algebras, vol. 8 Loring, 2010, C⁎-algebra relations, Math. Scand., 107, 43, 10.7146/math.scand.a-15142 Loring, 2012, The point in weak semiprojectivity and AANR compacta, Topol. Appl., 159, 850, 10.1016/j.topol.2011.12.001 Lyndon, 2001, Combinatorial Group Theory, 10.1007/978-3-642-61896-3 Malcev, 1940, On isomorphic matrix representations of infinite groups, Rec. Math. [Mat. Sb.] N.S., 8, 405 Manuilov, 1999, Almost-representations and asymptotic representations of discrete groups, Izv. Ross. Akad. Nauk, Ser. Mat., 63, 159 Manuilov, 2001, Almost, asymptotic and Fredholm representations of discrete groups, Acta Appl. Math., 68, 159, 10.1023/A:1012077015181 McAlister, 1999 McLaury, 2012, Irreducible representations of Baumslag-Solitar groups, J. Group Theory, 15, 543, 10.1515/jgt-2012-0011 Meskin, 1972, Nonresidually finite one-relator groups, Trans. Am. Math. Soc., 164, 105, 10.1090/S0002-9947-1972-0285589-5 Mishchenko, 1998, Asymptotic representation of discrete groups, vol. 433 Pooya, 2018, K-theory for the C⁎-algebras of the solvable Baumslag–Solitar groups, Glasg. Math. J., 60, 481, 10.1017/S0017089517000210 Rădulescu, 2008, The von Neumann algebra of the non-residually finite Baumslag group 〈a,b|ab3a−1=b2〉 embeds into Rω, vol. 9, 173 Rosenthal, 1969, Research problems: are almost commuting matrices near commuting matrices?, Am. Math. Mon., 76, 925, 10.1080/00029890.1969.12000370 Tikuisis, 2017, Quasidiagonality of nuclear C⁎-algebras, Ann. Math., 2, 229, 10.4007/annals.2017.185.1.4 Ueda, 2008, Remarks on HNN extensions in operator algebras, Ill. J. Math., 52, 705, 10.1215/ijm/1254143997 Voiculescu, 1981, Remarks on the singular extension in the C⁎-algebra of the Heisenberg group, J. Oper. Theory, 5, 147 Voiculescu, 1983, Asymptotically commuting finite rank unitary operators without commuting approximants, Acta Sci. Math. (Szeged), 45, 429 Yang, 1997 Zassenhaus, 1948, Über einen Algorithmus zur Bestimmung der Raumgruppen, Comment. Math. Helv., 21, 117, 10.1007/BF02568029