논문KCI 등재
K-theory of Crossed Products of $C^*$-algebras Two Metric Spaces
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Abstract
We study continuous ¯elds and K-groups of crossed products of C¤- algebras. It is shown under a reasonable assumption that there exist continuous ¯elds 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.
참고문헌 (11)
- Blackadar, "K-theory for operator algebras" (1998), Cambridge University Press
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- Ann, "On some types of topological groups", pp.~10 (1949)
- Lee, "On the C？-algebras of operator ？" (1976), Indiana Univ
- Math, "Full algebras of operator ？ elds trivial except at one point" (1977), Indiana Univ
- Packer, "Twisted crossed products of C？-algebras" (1989)
- Math, "Twisted crossed products of C？-algebras" (1990)
- A, "C？-algebras associated with irrational rotations" (1981)
- Larsen, "An introduction to K-theory for C？-algebras" (2000), Cambridge University Press
- Sudo, "Structure of group C？-algebras of Lie semi-direct products CnoR", 46(1), pp.25~38 (2001)
관련 논문AI추천
Crossed Products of the Free Group and Semigroup C -algebras by FlowsTakahiro Sudo한국수학교육학회 · 이론수학과 교직수학2007 · 제14권 제4호K-theory of $C^*$-algebras of locally trivial continuous fieldsTakahiro Sudo대한수학회 · 대한수학회논문집2005 · 제20권 제1호Stable Rank of Group C*-algebras of Some Disconnected Lie GroupsTakahiro Sudo경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2007 · 제47권 제2호Stable ranks of multiplier algebras of C^*-algebrasTakahiro Sudo대한수학회 · 대한수학회논문집2002 · 제17권 제3호On the topology of the dual space of crossed product C*-algebras with finite groupsFiruz Kamalov대한수학회 · 대한수학회보2017 · 제54권 제2호STABLE RANK OF TWISTED CROSSED PRODUCTS OFC？-ALGEBRAS BY ABELIAN GROUPSTakahiroSudo한국수학교육학회 · 이론수학과 교직수학2003 · 제10권 제2호
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