Simple $C^ *$-algebras and subgroups of $\textbf {Q}$
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- by Gerald J. Murphy PDF
- Proc. Amer. Math. Soc. 107 (1989), 97-100 Request permission
Abstract:
A special case of a conjecture of R. Douglas is solved by an elementary argument using ${K_0}$-theory.References
- L. A. Coburn, The $C^{\ast }$-algebra generated by an isometry, Bull. Amer. Math. Soc. 73 (1967), 722–726. MR 213906, DOI 10.1090/S0002-9904-1967-11845-7
- R. G. Douglas, On the $C^{\ast }$-algebra of a one-parameter semigroup of isometries, Acta Math. 128 (1972), no. 3-4, 143–151. MR 394296, DOI 10.1007/BF02392163 K. R. Goodearl, Notes on real and complex ${C^*}$-algebras, Shiva Math. Ser., no. 5, Shiva, Cheshire, England, 1982. E. G. Effros, Dimension groups and ${C^*}$-algebras, CBMS Regional Conf. Ser. Math., no. 46, Amer. Math. Soc., Providence, R. I., 1981.
- Gert K. Pedersen, $C^{\ast }$-algebras and their automorphism groups, London Mathematical Society Monographs, vol. 14, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], London-New York, 1979. MR 548006
Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 107 (1989), 97-100
- MSC: Primary 46L80; Secondary 19K14, 46L05
- DOI: https://doi.org/10.1090/S0002-9939-1989-1007284-5
- MathSciNet review: 1007284