The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education (한국수학교육학회)
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K-THEORY OF CROSSED PRODUCTS OF C*-ALGEBRAS

  • SUDO TAKAHIRO (DEPARTMENT OF MATHEMATICAL SCIENCES, FACULTY OF SCIENCE, UNIVERSITY OF THE RYUKYUS, NISHIHARA)
  • Published : 2005.02.01
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Abstract

We study continuous fields and K-groups of crossed products of C＊-algebras. It is shown under a reasonable assumption that there exist continuous fields of C＊ -algebras between crossed products of C＊ -algebras by amenable locally compact groups and tensor products of C＊ -algebras with their group C＊ -algebras, and their K-groups are the same under the additional assumptions.

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