메뉴 건너뛰기




Volumn 346, Issue , 2019, Pages 124-169

Bounded normal generation and invariant automatic continuity

Author keywords

Automatic continuity; Bounded normal generation; Unitary groups; Von Neumann algebras

Indexed keywords


EID: 85060978192     PISSN: 00018708     EISSN: 10902082     Source Type: Journal    
DOI: 10.1016/j.aim.2019.01.047     Document Type: Article
Times cited : (22)

References (38)
  • 1
    • 0003337334 scopus 로고    scopus 로고
    • The Descriptive Set Theory of Polish Group Actions
    • Cambridge University Press
    • Becker, H., Kechris, A.S., The Descriptive Set Theory of Polish Group Actions. London Math. Soc. Lecture Note Ser., vol. 232, 1996, Cambridge University Press.
    • (1996) London Math. Soc. Lecture Note Ser. , vol.232
    • Becker, H.1    Kechris, A.S.2
  • 3
    • 0742298105 scopus 로고
    • Commutateurs dans le Groupe Unitaire d'un Facteur
    • Broise, M., Commutateurs dans le Groupe Unitaire d'un Facteur. J. Math. Appl. 46 (1967), 299–312.
    • (1967) J. Math. Appl. , vol.46 , pp. 299-312
    • Broise, M.1
  • 4
    • 0003598756 scopus 로고
    • Von Neumann Algebras
    • North-Holland Amsterdam
    • Dixmier, J., Von Neumann Algebras. 1981, North-Holland, Amsterdam.
    • (1981)
    • Dixmier, J.1
  • 5
    • 85060968430 scopus 로고    scopus 로고
    • Bounded normal generation for projective unitary groups of certain infinite operator algebras
    • Dowerk, P.A., Thom, A., Bounded normal generation for projective unitary groups of certain infinite operator algebras. Int. Math. Res. Not. IMRN 24 (2018), 7642–7654.
    • (2018) Int. Math. Res. Not. IMRN , vol.24 , pp. 7642-7654
    • Dowerk, P.A.1    Thom, A.2
  • 6
    • 84972530293 scopus 로고
    • Continuity of homomorphisms
    • Dudley, R.M., Continuity of homomorphisms. Duke Math. J. 28 (1961), 587–594.
    • (1961) Duke Math. J. , vol.28 , pp. 587-594
    • Dudley, R.M.1
  • 7
    • 0002930584 scopus 로고
    • Sommes de Commutateurs dans les Algebres de von Neumann Finies Continues
    • Fack, T., de la Harpe, P., Sommes de Commutateurs dans les Algebres de von Neumann Finies Continues. Ann. Inst. Fourier 30:3 (1980), 49–73.
    • (1980) Ann. Inst. Fourier , vol.30 , Issue.3 , pp. 49-73
    • Fack, T.1    de la Harpe, P.2
  • 8
    • 84972546868 scopus 로고
    • Generalized s-numbers of τ-measurable operators
    • Fack, T., Kosaki, H., Generalized s-numbers of τ-measurable operators. Pacific J. Math., 123(2), 1986.
    • (1986) Pacific J. Math. , vol.123 , Issue.2
    • Fack, T.1    Kosaki, H.2
  • 9
    • 41449118485 scopus 로고    scopus 로고
    • Uniqueness of Polish group topology
    • Gartside, P., Pejić B., Uniqueness of Polish group topology. Topology Appl. 155 (2008), 992–999.
    • (2008) Topology Appl. , vol.155 , pp. 992-999
    • Gartside, P.1    Pejić, B.2
  • 10
    • 84880841081 scopus 로고    scopus 로고
    • Boundedly simple groups of automorphisms of trees
    • Gismatullin, J., Boundedly simple groups of automorphisms of trees. J. Algebra 392 (2013), 226–243.
    • (2013) J. Algebra , vol.392 , pp. 226-243
    • Gismatullin, J.1
  • 11
    • 51249186303 scopus 로고
    • Simplicity of the projective unitary groups defined by simple factors
    • de la Harpe, P., Simplicity of the projective unitary groups defined by simple factors. Comment. Math. Helv. 54 (1979), 334–345.
    • (1979) Comment. Math. Helv. , vol.54 , pp. 334-345
    • de la Harpe, P.1
  • 12
    • 85017500506 scopus 로고    scopus 로고
    • The Structure of Compact Groups
    • 2nd revised and augmented edition
    • Hofmann, K.H., Morris, S.A., The Structure of Compact Groups. 2nd revised and augmented edition de Gruyter Stud. Math., vol. 25, 2006.
    • (2006) de Gruyter Stud. Math. , vol.25
    • Hofmann, K.H.1    Morris, S.A.2
  • 13
    • 84968476576 scopus 로고
    • Infinite unitary groups
    • Kadison, R.V., Infinite unitary groups. Trans. Amer. Math. Soc. 72 (1952), 386–399.
    • (1952) Trans. Amer. Math. Soc. , vol.72 , pp. 386-399
    • Kadison, R.V.1
  • 14
    • 0003601581 scopus 로고
    • Fundamentals of the Theory of Operator Algebras II
    • Academic Press
    • Kadison, R.V., Ringrose, J.R., Fundamentals of the Theory of Operator Algebras II. 1986, Academic Press.
    • (1986)
    • Kadison, R.V.1    Ringrose, J.R.2
  • 17
    • 34347348205 scopus 로고    scopus 로고
    • Turbulence, almagamation, and generic automorphisms of homogeneous structures
    • Kechris, A.S., Rosendal, C., Turbulence, almagamation, and generic automorphisms of homogeneous structures. Proc. Lond. Math. Soc. (3) 94:2 (2007), 302–350.
    • (2007) Proc. Lond. Math. Soc. (3) , vol.94 , Issue.2 , pp. 302-350
    • Kechris, A.S.1    Rosendal, C.2
  • 18
    • 0030585299 scopus 로고    scopus 로고
    • n(F)
    • n(F). J. Algebra 182:1 (1996), 60–84.
    • (1996) J. Algebra , vol.182 , Issue.1 , pp. 60-84
    • Lev, A.1
  • 19
    • 0035540759 scopus 로고    scopus 로고
    • Diameters of finite simple groups: sharp bounds an applications
    • Liebeck, M.W., Shalev, A., Diameters of finite simple groups: sharp bounds an applications. Ann. of Math. 154:2 (2001), 383–406.
    • (2001) Ann. of Math. , vol.154 , Issue.2 , pp. 383-406
    • Liebeck, M.W.1    Shalev, A.2
  • 23
    • 84869167624 scopus 로고    scopus 로고
    • Generators and commutators in finite groups; abstract quotients of compact groups
    • Nikolov, N., Segal, D., Generators and commutators in finite groups; abstract quotients of compact groups. Invent. Math. 190:3 (2012), 513–602.
    • (2012) Invent. Math. , vol.190 , Issue.3 , pp. 513-602
    • Nikolov, N.1    Segal, D.2
  • 24
    • 85060979371 scopus 로고    scopus 로고
    • On the Uniqueness of Polish Group Topologies
    • Dissertation University of Pittsburgh
    • Pejić B., On the Uniqueness of Polish Group Topologies. Dissertation, 2007, University of Pittsburgh.
    • (2007)
    • Pejić, B.1
  • 25
    • 0010063988 scopus 로고
    • On continuity and openness of homomorphisms in topological groups
    • Pettis, B.J., On continuity and openness of homomorphisms in topological groups. Ann. of Math. (2) 52 (1950), 293–308.
    • (1950) Ann. of Math. (2) , vol.52 , pp. 293-308
    • Pettis, B.J.1
  • 26
    • 0002158171 scopus 로고
    • On a problem of R. V. Kadison on maximal Abelian ⁎-subalgebras in factors
    • Popa, S., On a problem of R. V. Kadison on maximal Abelian ⁎-subalgebras in factors. Invent. Math. 65 (1981), 269–281.
    • (1981) Invent. Math. , vol.65 , pp. 269-281
    • Popa, S.1
  • 27
    • 0000934215 scopus 로고
    • Classification of amenable subfactors of type II
    • Popa, S., Classification of amenable subfactors of type II. Acta Math. 172:2 (1994), 163–255.
    • (1994) Acta Math. , vol.172 , Issue.2 , pp. 163-255
    • Popa, S.1
  • 28
    • 67649992047 scopus 로고    scopus 로고
    • Automatic continuity of group homomorphisms
    • Rosendal, C., Automatic continuity of group homomorphisms. Bull. Symbolic Logic 15:2 (2009), 184–214.
    • (2009) Bull. Symbolic Logic , vol.15 , Issue.2 , pp. 184-214
    • Rosendal, C.1
  • 29
    • 57749188442 scopus 로고    scopus 로고
    • Automatic continuity of homomorphisms and fixed points on metric compacta
    • Rosendal, C., Solecki, S., Automatic continuity of homomorphisms and fixed points on metric compacta. Israel J. Math. 162 (2007), 349–371.
    • (2007) Israel J. Math. , vol.162 , pp. 349-371
    • Rosendal, C.1    Solecki, S.2
  • 30
    • 85017449049 scopus 로고    scopus 로고
    • Automatic continuity for isometry groups
    • Sabok, M., Automatic continuity for isometry groups. J. Inst. Math. Jussieu, 2017, 10.1017/S1474748017000135.
    • (2017) J. Inst. Math. Jussieu
    • Sabok, M.1
  • 31
    • 84972561796 scopus 로고
    • On a conjecture of Kaplansky
    • Sakai, S., On a conjecture of Kaplansky. Tohoku Math. J. 12:2 (1960), 31–33.
    • (1960) Tohoku Math. J. , vol.12 , Issue.2 , pp. 31-33
    • Sakai, S.1
  • 32
    • 84925256152 scopus 로고    scopus 로고
    • Automatic continuity for homomorphisms into free products
    • Slutsky, K., Automatic continuity for homomorphisms into free products. J. Symbolic Logic 78:4 (2013), 1288–1306.
    • (2013) J. Symbolic Logic , vol.78 , Issue.4 , pp. 1288-1306
    • Slutsky, K.1
  • 33
    • 84892768268 scopus 로고    scopus 로고
    • On the lattice of normal subgroups in ultraproducts of compact simple groups
    • Stolz, A., Thom, A., On the lattice of normal subgroups in ultraproducts of compact simple groups. Proc. Lond. Math. Soc. (3) 108:1 (2014), 73–102.
    • (2014) Proc. Lond. Math. Soc. (3) , vol.108 , Issue.1 , pp. 73-102
    • Stolz, A.1    Thom, A.2
  • 34
    • 0003882537 scopus 로고
    • Theory of Operator Algebras I, II, III
    • Springer-Verlag 2003, 2003
    • Takesaki, M., Theory of Operator Algebras I, II, III. 1979, Springer-Verlag 2003, 2003.
    • (1979)
    • Takesaki, M.1
  • 35
    • 66249134642 scopus 로고    scopus 로고
    • ⁎-algebras and elliptic theory II
    • ⁎-algebras and elliptic theory II. Trends Math., 2008, 267–280.
    • (2008) Trends Math. , pp. 267-280
    • Thom, A.1
  • 36
    • 84929848688 scopus 로고    scopus 로고
    • A remark about the spectral radius
    • Thom, A., A remark about the spectral radius. Int. Math. Res. Not. IMRN 10 (2015), 2856–2864.
    • (2015) Int. Math. Res. Not. IMRN , vol.10 , pp. 2856-2864
    • Thom, A.1
  • 37
    • 84880746371 scopus 로고    scopus 로고
    • Automatic continuity for the unitary group
    • Tsankov, T., Automatic continuity for the unitary group. Proc. Amer. Math. Soc. 141:10 (2013), 3673–3680.
    • (2013) Proc. Amer. Math. Soc. , vol.141 , Issue.10 , pp. 3673-3680
    • Tsankov, T.1
  • 38
    • 38249043471 scopus 로고
    • Normal subgroups of the general linear groups over Banach algebras
    • Vaserstein, L.N., Normal subgroups of the general linear groups over Banach algebras. J. Pure Appl. Algebra 41:1 (1986), 99–112.
    • (1986) J. Pure Appl. Algebra , vol.41 , Issue.1 , pp. 99-112
    • Vaserstein, L.N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.