具拟不变测度群胚流上的Toeplitz代数(英文)  

The Toeplitz Algebras on the Flow of Groupoid With Quasi-invariant Measures

作　　者：方小春[1] 

机构地区：[1]同济大学应用数学系，上海 200092

出　　处：《数学进展》2000年第6期549-553,共5页Advances in Mathematics（China）

基　　金：the NSFC and Foundation for University Key Teacher by the Ministry of Education.

摘　　要：设Ｇ为第二可数群胚，具有Ｈａａｒ系｛λｎ｝，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Ｘ群．Let G be a second countale groupoid with Harr system{λU}, R be the real number group which left invariantly acts on G. In this note, we naturely (as an extension of that in [3]) introduce two classes of Toeplitz algebras with respect to a quasi-invariaot measure i.e. the small and the large Toeplitz algebras, and the isomorphism theorem and therefore the K-group of the small one have been obtained.

关 键 词：群胚 流 TOEPLITZ代数 拟不变测度 同构定理 

分 类 号：O177.5[理学—数学]