A covering dimension for 𝐶*-algebras

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Abstract

We introduce a notion of dimension for ð¶*-algebras that is a noncommutative version of the covering dimension for spaces, and study its basic properties and some properties for continuous field ð¶*-algebras, tensor products and composition series. As an application we estimate the dimension of the group ð¶*-algebras of some important solvable Lie groups.

Keywords

𝐶*-algebras , covering dimension , Primitive
  • Takahiro Sudo Department of Mathematical Sciences, Faculty of Science, University of the Ryukyus, Senbaru 1, Nishihara, Okinawa 903-0213, Japan.
  • Pages: 87–96
  • Date Published: 2006-04-01
  • Vol. 8 No. 1 (2006): CUBO, A Mathematical Journal

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Published

2006-04-01

How to Cite

[1]
T. Sudo, “A covering dimension for 𝐶*-algebras”, CUBO, vol. 8, no. 1, pp. 87–96, Apr. 2006.