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K-theory of $C^*$-algebras of locally trivial continuous fields

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Abstract

It is shown that the K-theory of the C¤-algebras of continuous ¯elds on locally compact Hausdor spaces with ¯bers elementary C¤-algebras is the same as the K- theory of the base spaces. We also consider the slightly generalized case. Furthermore, we give some applications of these results.

참고문헌 (5)

  1. "K-theory for Operator Algebras" (1998)
  2. "The structure of algebras of operator ?", pp.233~280 (1961)
  3. "On the C?-algebras of operator ?", pp.303~314 (1976), Indiana Univ. Math. J. 25
  4. "Morita Equivalence^Continuous-Trace C?-Algebras^" (1998)
  5. "An Introduction to K-Theory forC?-Algebras", 49, pp.~49 (2000)

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