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具拟不变测度群胚流上的Toeplitz代数
引用本文:方小春.具拟不变测度群胚流上的Toeplitz代数[J].数学进展,2000,29(6):549-553.
作者姓名:方小春
作者单位:同济大学应用数学系, 上海,200092, 中国
摘    要:设G为第二可数群胚,具有Haar系{λ^n},R为实数群,左不变作用在G上。本文我们自然地(作为3]中概念的推广)引进两类Toeplitz代数(对应于一拟不变测度),即小和大Toeplitz代数,并且得到了小Toeplitz代数的同构定理及k群。

关 键 词:群胚    Toeplitz代数  拟不变测度  同构定理
修稿时间:1998年7月27日

center The Toeplitz Algebras on the Flow of Groupoid With Quasi-invariant Measures
Fang Xiaochun.center The Toeplitz Algebras on the Flow of Groupoid With Quasi-invariant Measures[J].Advances in Mathematics,2000,29(6):549-553.
Authors:Fang Xiaochun
Abstract:Let G be a second countale groupoid with Harr systemu, R be thereal number group which left invariantly acts on G. In this note, we naturely (as an extension of that in [3]) introducetwo classes of Toeplitz algebras with respect to a quasi-invariant measurei.e. the small and the large Toeplitz algebras, and the isomorphism theorem and therefore the K-group of the smallone have been obtained.
Keywords:groupoid  flow  Toeplitz algebra
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