Hostname: page-component-586b7cd67f-2brh9 Total loading time: 0 Render date: 2024-12-04T10:15:31.169Z Has data issue: false hasContentIssue false
  • English
  • Français

C*-algebras associated with amalgamated products of groups

Published online by Cambridge University Press:  18 May 2009

Bola O. Balogun
Bola O. Balogun*
Affiliation:
University of Ife, Ile-Ife, Nigeria.
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Let V denote the class of discrete groups G which satisfy the following conditions (a), (b) and (c):

(a) G = (A * B; K = φ(H)) is the free product of two groups A and B with the subgroup H amalgamated.

(b) H does not contain the verbal subgroup A(X2) of A and K does not contain the verbal subgroup B(X2)of B.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 29 , Issue 2 , July 1987 , pp. 143 - 148
Copyright
Copyright © Glasgow Mathematical Journal Trust 1987

References

1. Akemann, C. A., Operator algebras associated with Fuchsian groups, Houston J. Math., 7 (1981), 295–301.Google Scholar
2. Akemann, C. A. and Lee, Tan-Yu, Some simple C*-algebras associated with free groups, Indiana Univ. Math. J., 29 (1980), 501–511.10.1512/iumj.1980.29.29038CrossRefGoogle Scholar
3. Choi, M., A simple C*-algebra generated by two finite-order unitaries, Canad. J. Math., 31 (1979), 867–880.10.4153/CJM-1979-082-4CrossRefGoogle Scholar
4. Lance, E. C., On nuclear C*-algebras, J. Functional Analysis, 12 (1973), 157–176.CrossRefGoogle Scholar
5. Magnus, W., Karrass, A. and Solitar, D., Combinatorial group theory (Interscience, 1966).Google Scholar
6. Paschke, W. L. and Salinas, N., C*-algebras associated with free products of groups, Pacific J. Math., 82 (1979), 211–221.CrossRefGoogle Scholar
7. Powers, Robert T., Simplicity of the C*-algebra associated with the free group on two generators, Duke Math., J., 42 (1975), 151–156.CrossRefGoogle Scholar
8. Sakai, S., C*-algebras and W*-algebras (Springer-Verlag, 1971).Google Scholar