Abstract
We study the structure of some n-homogeneous C*-algebras generated by flips. The algebra is generated by the flips u, v, s1, …, sm with the relations between the generators: usi = αisiu, vs i = βisiv, sisj = Єijsjsi, αi = ±1, βi = ±1, ij = ±1, 1 ≤ i, j ≤ m. The structure of such algebras generated by flips with the relations between generators was studied by Popovich, Samoilenko and Turowska. In the paper we prove that if such an algebra A is n-homogeneous then it is trivial. Such an n-homogeneous C*-algebra A is isomorphic to the algebra of all continuous matrix-functions of dimension n over some compact subspace of the plane ℂ.
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© 2004 Birkhäuser Verlag Basel/Switzerland
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Shchukin, M., Vatkina, E. (2004). The Structure of some C*-Algebras Generated by N Idempotents. In: Gaşpar, D., Timotin, D., Zsidó, L., Gohberg, I., Vasilescu, FH. (eds) Recent Advances in Operator Theory, Operator Algebras, and their Applications. Operator Theory: Advances and Applications, vol 153. Birkhäuser Basel. https://doi.org/10.1007/3-7643-7314-8_15
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DOI: https://doi.org/10.1007/3-7643-7314-8_15
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-7643-7127-2
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