Finite group actions on AF algebras obtained by folding the interval期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Finite group actions on AF algebras obtained by folding the interval

Authors:	Ola Bratteli George A. Elliott David E. Evans Akitaka Kishimoto

Affiliation:	(1) Institute of Mathematics, University of Trondheim, N-7034 Trondheim, NTH, Norway;(2) Mathematics Institute, University of Copenhagen, DK-2100 Copenhagen Ø, Denmark;(3) Department of Mathematics, University of Toronto, M5S 1A1 Toronto, Ontario, Canada;(4) Department of Mathematics, University College of Swansea, SA2 8PP Swansea, Wales, U.K.;(5) Department of Mathematics, College of General Education, Tôhoku University, Sendai, Japan;(6) Present address: Mathematics Institute, University of Oslo, P.B. 1053-Blindern, N-0316 Oslo 3, Norway;(7) Present address: Department of Mathematics, Hokkaido University, 060 Sapporo, Japan

Abstract:	For any finite groupG we construct examples of an AF algebraA and an action byG onA such that the fixed point algebra is not AF. The construction ofA is done by successive foldings and cuttings of the interval in a way originally suggested by Blackadar and, in a different context, by Connes in his talk in Oslo in 1978.

Keywords:	C*-algebras AF algebras inductive limits K-theory
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