Abstract
A explicit description is given for the C *-algebra of a group with an abelian subgroup of finite index. An example is given to illustrate the ease of the construction in any particular case. Finally an extension of the main theorem to the case where the subgroup of finite index is not necessarily abelian is given.
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References
Raeburn, Iain. On group C *-algebras of bounded representation dimension. Trans. Amer. Math. Soc., 262 (1982), 629–644.
Rieffel, Marc A. Actions of finite groups on C *-algebras. Math. Scand. 47 (1980), 157–176.
Rosenberg, Jonathan. The C *-algebras of some real and p-adic solvable groups. Pac. J. Math. 65 (1976), 175–192.
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© 1989 Birkhäuser Verlag Basel
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Taylor, K.F. (1989). C *-Algebras of Crystal Groups. In: Dym, H., Goldberg, S., Kaashoek, M.A., Lancaster, P. (eds) The Gohberg Anniversary Collection. Operator Theory: Advances and Applications, vol 40/41. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-9144-8_45
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DOI: https://doi.org/10.1007/978-3-0348-9144-8_45
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9924-6
Online ISBN: 978-3-0348-9144-8
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