Asymptotic K-theory for groups acting on (A)over-tilde2 buildings

被引：26

作者：

Robertson, G ^{[1
]}

Steger, T

机构：

[1] Univ Newcastle, Dept Math, Newcastle, NSW 2308, Australia

[2] Univ Sassari, Ist Matemat Fis, I-07100 Sassari, Italy

来源：

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 2001年 / 53卷 / 04期

关键词：

K-theory; C* -algebra; affine building;

D O I：

10.4153/CJM-2001-033-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let Gamma be a torsion free lattice in G = PGL(3, F) where F is a nonarchimedean local field. Then Gamma acts freely on the affine Bruhat-Tits building 3 of G and there is an induced action on the boundary Omega of B. The crossed product C*-algebra A(Gamma) = C(Omega) times sign with bar connected to right of it Gamma depends only on F and is classified by its K-theory. This article shows how to compute the K-theory of A(F) and of the larger class of rank two Cuntz-Krieger algebras.

引用

页码：809 / 833

页数：25

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