On automorphism groups of $C^*$-algebras
HTML articles powered by AMS MathViewer
- by Mi-soo Bae Smith PDF
- Trans. Amer. Math. Soc. 152 (1970), 623-648 Request permission
References
- J. W. Calkin, Two-sided ideals and congruences in the ring of bounded operators in Hilbert space, Ann. of Math. (2) 42 (1941), 839–873. MR 5790, DOI 10.2307/1968771
- Jacques Dixmier, Les algèbres d’opérateurs dans l’espace hilbertien (Algèbres de von Neumann), Cahiers Scientifiques, Fasc. XXV, Gauthier-Villars, Paris, 1957 (French). MR 0094722 —, Les ${C^ \ast }$-algèbres et leur représentations, Cahiers Scientifique, fasc. 29, Gauthier-Villars, Paris, 1964. MR 30 #1404.
- Nelson Dunford and Jacob T. Schwartz, Linear Operators. I. General Theory, Pure and Applied Mathematics, Vol. 7, Interscience Publishers, Inc., New York; Interscience Publishers Ltd., London, 1958. With the assistance of W. G. Bade and R. G. Bartle. MR 0117523
- J. M. G. Fell, The structure of algebras of operator fields, Acta Math. 106 (1961), 233–280. MR 164248, DOI 10.1007/BF02545788
- L. Terrell Gardner, On isomorphisms of $C^{\ast }$-algebras, Amer. J. Math. 87 (1965), 384–396. MR 179637, DOI 10.2307/2373010
- B. R. Gelbaum, Tensor products and related questions, Trans. Amer. Math. Soc. 103 (1962), 525–548. MR 138966, DOI 10.1090/S0002-9947-1962-0138966-0
- Jesús Gil de Lamadrid, Uniform cross norms and tensor products of Banach algebras, Bull. Amer. Math. Soc. 69 (1963), 797–803. MR 162154, DOI 10.1090/S0002-9904-1963-11037-X
- James G. Glimm and Richard V. Kadison, Unitary operators in $C^{\ast }$-algebras, Pacific J. Math. 10 (1960), 547–556. MR 115104
- Alexandre Grothendieck, Produits tensoriels topologiques et espaces nucléaires, Mem. Amer. Math. Soc. 16 (1955), Chapter 1: 196 pp.; Chapter 2: 140 (French). MR 75539
- Dale Husemoller, Fibre bundles, McGraw-Hill Book Co., New York-London-Sydney, 1966. MR 0229247
- Richard V. Kadison, Transformations of states in operator theory and dynamics, Topology 3 (1965), no. suppl, suppl. 2, 177–198. MR 169073, DOI 10.1016/0040-9383(65)90075-3
- Richard V. Kadison and John R. Ringrose, Derivations and automorphisms of operator algebras, Comm. Math. Phys. 4 (1967), 32–63. MR 206735 R. E. Kallman, Private communication (to appear).
- Irving Kaplansky, The structure of certain operator algebras, Trans. Amer. Math. Soc. 70 (1951), 219–255. MR 42066, DOI 10.1090/S0002-9947-1951-0042066-0
- Nicolaas H. Kuiper, The homotopy type of the unitary group of Hilbert space, Topology 3 (1965), 19–30. MR 179792, DOI 10.1016/0040-9383(65)90067-4
- E. C. Lance, Automorphisms of postliminal $C^{\ast }$-algebras, Pacific J. Math. 23 (1967), 547–555. MR 220066 —, Preprint (to appear).
- C. E. Rickart, The uniqueness of norm problem in Banach algebras, Ann. of Math. (2) 51 (1950), 615–628. MR 34967, DOI 10.2307/1969371
- Charles E. Rickart, General theory of Banach algebras, The University Series in Higher Mathematics, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto-London-New York, 1960. MR 0115101 S. Sakai, Theory of ${W^ \ast }$-algebras, Mimeographed Lecture Notes, Yale University, 1960.
- Robert Schatten, A Theory of Cross-Spaces, Annals of Mathematics Studies, No. 26, Princeton University Press, Princeton, N. J., 1950. MR 0036935
- Edwin H. Spanier, Algebraic topology, McGraw-Hill Book Co., New York-Toronto, Ont.-London, 1966. MR 0210112
- Norman E. Steenrod, The work and influence of Professor S. Lefschetz in algebraic topology, Algebraic geometry and topology. A symposium in honor of S. Lefschetz, Princeton University Press, Princeton, N.J., 1957, pp. 24–43. MR 0086294
- Masamichi Takesaki, A note on the cross-norm of the direct product of operator algebra, K\B{o}dai Math. Sem. Rep. 10 (1958), 137–140. MR 100233
- Takasi Turumaru, Crossed product of operator algebra, Tohoku Math. J. (2) 10 (1958), 355–365. MR 102764, DOI 10.2748/tmj/1178244669
- Aubrey Wulfsohn, Produit tensoriel de $C^{\ast }$-algèbres. lière partie, Bull. Sci. Math. (2) 87 (1963), no. lière partie, 13–27 (French). MR 167855
- E. C. Zeeman, Dihomology. I. Relations between homology theories, Proc. London Math. Soc. (3) 12 (1962), 609–638. MR 153009, DOI 10.1112/plms/s3-12.1.609
Additional Information
- © Copyright 1970 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 152 (1970), 623-648
- MSC: Primary 46.65
- DOI: https://doi.org/10.1090/S0002-9947-1970-0273426-2
- MathSciNet review: 0273426