K-theory for real k-graph C*-algebras

被引：1

作者：

Boersema, Jeffrey L. ^{[1
]}

Gillaspy, Elizabeth ^{[2
]}

机构：

[1] Seattle Univ, Dept Math, Seattle, WA 98122 USA

[2] Univ Montana, Dept Math Sci, Missoula, MT USA

来源：

ANNALS OF K-THEORY | 2022年 / 7卷 / 02期

关键词：

higher rank graphs; real C*-algebras; K-theory; CLASSIFICATION;

D O I：

10.2140/akt.2022.7.395

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We initiate the study of real C*-algebras associated to higher-rank graphs 3, with a focus on their K-theory. Following Kasparov and Evans, we identify a spectral sequence which computes the CR K-theory of C*(R)(Lambda,gamma) for any involution. on 3, and show that the E-2 page of this spectral sequence can be straightforwardly computed from the combinatorial data of the k-graph 3 and the involution gamma. We provide a complete description of K-CR(C*(R)(Lambda,gamma)) for several examples of higher-rank graphs Lambda with involution.

引用

页码：395 / 440

页数：46

共 34 条

[1]

[Anonymous], 1994, Cohomology of groups

[2] On the K-theory of C*-algebras arising from integral dynamics [J].