Noncommutative Manifolds from Graph and k-Graph C*-Algebras

被引：0
|
作者：
David Pask
Adam Rennie
Aidan Sims
机构：
[1] University of Wollongong,School of Mathematics and Applied Statistics
[2] University of Copenhagen,Institute for Mathematical Sciences
[3] Australian National University,Mathematical Sciences Institute
来源：
Communications in Mathematical Physics | 2009年 / 292卷
关键词：
Clifford Algebra; Noncommutative Geometry; Partial Isometry; Pask; Spectral Triple;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In [PRen] we constructed smooth (1, ∞)-summable semifinite spectral triples for graph algebras with a faithful trace, and in [PRS] we constructed (k, ∞)-summable semifinite spectral triples for k-graph algebras. In this paper we identify classes of graphs and k-graphs which satisfy a version of Connes’ conditions for noncommutative manifolds.
引用
收藏
页码：607 / 636
页数：29
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