The type of some $C^{\ast}$ and $W^{\ast}$-algebras associated with transformation groups.
Elliot C. Gootman
Source: Pacific J. Math. Volume 48, Number 1
(1973), 93-106.
First Page:
Show
Hide
Primary Subjects:
22D25
Full-text: Open access
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.pjm/1102945704
Zentralblatt MATH identifier: 0265.46059
Zentralblatt MATH identifier: 0251.46066
Mathematical Reviews number (MathSciNet): MR0335681
References
[1] L. Auslander and C. C. Moore, Unitary representations of solvable Lie groups, Mem. Amer. Math. Soc, No. 62 (1966).
Mathematical Reviews (MathSciNet): MR34:7723
Zentralblatt MATH: 0204.14202
[2] R. J. Blattner, Positive definite measures, Proc. Amer. Math. Soc, 14 (1963), 423-428.
Mathematical Reviews (MathSciNet): MR26:5095
Zentralblatt MATH: 0135.36202
[3] J. Dixmier, Algebres quasi-unitaires, Comment. Math. Helv., 26 (1952), 275-322.
Mathematical Reviews (MathSciNet): MR14:660b
Zentralblatt MATH: 0047.35601
[4] J. Dixmier,Les algebres d'operateurs dans espace hilbertien (Algebres de von Neumann), Cahiers Scientifiques, fasc. XXV, Gauthier-Villars, Paris, 1957.
Zentralblatt MATH: 0088.32304
[5] E. Efros, Transformationgroups and C*-algebras, Ann. of Math., (2) 81 (1965), 38-55.
Mathematical Reviews (MathSciNet): MR30:5175
Zentralblatt MATH: 0152.33203
[6] E. Effros and F. Hahn, Locally compact transformationgroups and C*-algebras, Mem. Amer. Math. Soc, No. 75 (1967).
Mathematical Reviews (MathSciNet): MR37:2895
Zentralblatt MATH: 0166.11802
[7] J. M. G. Fell, A Hausdorff topology for the closed subsets of a locally compact non-Hausdorff space, Proc. Amer. Math. Soc, 13 (1962), 472-476.
Mathematical Reviews (MathSciNet): MR25:2573
Zentralblatt MATH: 0106.15801
[8] J. M. G. Fell, Weak containment and induced representations of groups. II, Trans. Amer. Math. Soc, 110 (1964), 424-447.
Mathematical Reviews (MathSciNet): MR28:3114
Zentralblatt MATH: 0195.42201
[9] J. Glimm, Families of induced representations, Pacific J. Math., 12 (1962), 885-911.
Mathematical Reviews (MathSciNet): MR26:3819
Zentralblatt MATH: 0121.10303
[10] R. R. Kallman, A problem of Gelfand on rings of operators and dynamicalsystems, Canad. J. Math., 22 (1970), 514-517.
Mathematical Reviews (MathSciNet): MR42:8300
Zentralblatt MATH: 0215.12203
[11] G. W. Mackey, A theorem of Stone and von Neumann,Duke Math. J., 16 (1949), 313-326.
Mathematical Reviews (MathSciNet): MR11:10b
Zentralblatt MATH: 0036.07703
[12] G. W. Mackey, Induced representationsof locally compact groups. I, Ann. of Math., (2) 55 (1952), 101-139.
Mathematical Reviews (MathSciNet): MR13:434a
[13] G. W. Mackey,Unitary representations of group extensions. I, Acta Math., 99 (1958), 265-311.
Mathematical Reviews (MathSciNet): MR20:4789
Zentralblatt MATH: 0082.11301
[14] F. J. Murray and J. von Neumann, On rings of operators, Ann. of Math., (2) 37 (1936), 116-229.
Mathematical Reviews (MathSciNet): MR1503275
Zentralblatt MATH: 0014.16006
[15] F. J. Murray and J. von Neumann,On ringsof operators. IV, Ann. of Math., (2) 44 (1943), 716-808.
Zentralblatt MATH: 0060.26903
[16] J. von Neumann, On rings of operators. Ill, Ann. of Math., (2) 41 (1940), 94-161.
Zentralblatt MATH: 0023.13303
[17] L. Pukanszky, On the theory of quasi-unitaryalgebras, Acta Sci. Math. (Szeged), 16 (1955), 103-121.
Mathematical Reviews (MathSciNet): MR17:515a
Zentralblatt MATH: 0064.36701
[18] M. Takesaki, Covariant representations of C*-algebras and their locally compact automorphism groups, Acta Math., 119 (1967), 273-303.
Mathematical Reviews (MathSciNet): MR37:774
Zentralblatt MATH: 0163.36802
[19] M. Takesaki,A generalized commutation theorem for the regular representation, Bull. Soc. Math. France, 97 (1969), 289-297.
Pacific Journal of Mathematics