Journal of East China Normal University(Natural Sc ›› 2006, Vol. 2006 ›› Issue (3): 1-7.

• Article •     Next Articles

K-groups Structure of Tracial Limits of C*-algebras(English)

YANG Xin-bing1,HU Shan-wen2   

  1. 1. Department of Mathematics, Zhejiang Normal University, Jinhua Zhejiang 321004, China; 2.Department of Mathematics, East China Normal University,Shanghai 200062, China
  • Received:2004-06-04 Revised:2004-12-17 Online:2006-05-25 Published:2006-05-25
  • Contact: YANG Xin-bing

Abstract: Let A=(t4)lim (An,Pn) be the tracial limit of a sequence of unital C*-subalgebras An, this paper proved that (1) united manners of the structure of K0(An) can be transmitted to K0(A); (2) for ∨n ,n∈N and if the natural maps ikn:Uk(An)/Uk0(An) --> K1(An) are surjective, then ∨k∈N,ik:Uk(A)/Uk0(A) --> K1(A) are surjective too.

Key words: K-theory, C*-algebras, tracial limit, K-theory, C*-algebras

CLC Number: