대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제20권1호
  • /
  • Pages.79-92
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  • 2005
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  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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K-THEORY OF C*-ALGEBRAS OF LOCALLY TRIVIAL CONTINUOUS FIELDS

  • SUDO TAKAHIRO (Department of Mathematical Sciences Faculty of Science University of the Ryukyus)
  • 발행 : 2005.01.01
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초록

It is shown that the K-theory of the $C^{\ast}$-algebras of continuous fields on locally compact Hausdorff spaces with fibers elementary $C^{\ast}$-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.

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참고문헌

  1. B. Blackadar, K-theory for Operator Algebras, Second Edition, Cambridge, 1998
  2. J. Dixmier, $C^{*}$algebras, North-Holland, 1962
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  4. R. Lee, On the $C^{*}$-algebras of operator fields, Indiana Univ. Math. J. 25 (1976), 303-314 https://doi.org/10.1512/iumj.1976.25.25026
  5. I. Raeburn and D. P. Williams, Morita Equivalence and Continuous-Trace $C^{*}$- Algebras, Amer. Math. Soc. 1998
  6. M. Rordam, F. Larsen and N. J. Laustsen, An Introduction to K-Theory for $C^{*}$-Algebras, LMSST 49, Cambridge, 2000
  7. N. E. Wegge-Olsen, K-theory and $C^{*}$-algebras, Oxford Univ. Press, 1993