收藏本站
收藏 | 投稿 | 手机打开
二维码
手机客户端打开本文

Indices of Toeplitz tuples on pseudoregular domains

郭坤宇  
【摘要】:正 This paper proves an index theorem of Toeplitz tuples on pseudoregular domains in Cn. Geometrically, the index of Toeplitz tuple T n is ( -1)n time wrapping number of n around the origin. As one of the applications of the index theorem, we completely characterize the automorphism groups of Toeplitz algebras on Poincare domain. As another application, it is shown that C* (Ω) ≌ C* ( Bn) for every Poincare domain Ω in Cn( n≠2). It is also noticed that C* (Ω) ≌ C* ( B2) if and only if the Poincaré conjecture is true for Ω.

知网文化
中国知网广告投放
 快捷付款方式  订购知网充值卡  订购热线  帮助中心
  • 400-819-9993
  • 010-62982499
  • 010-62783978