Author:
GOFFENG MAGNUS,MESLAND BRAM,RENNIE ADAM
Abstract
We show how the fine structure in shift–tail equivalence, appearing in the non-commutative geometry of Cuntz–Krieger algebras developed by the first two listed authors, has an analogue in a wide range of other Cuntz–Pimsner algebras. To illustrate this structure, and where it appears, we produce an unbounded representative of the defining extension of the Cuntz–Pimsner algebra constructed from a finitely generated projective bi-Hilbertian module, extending work by the third listed author with Robertson and Sims. As an application, our construction yields new spectral triples for Cuntz and Cuntz–Krieger algebras and for Cuntz–Pimsner algebras associated to vector bundles twisted by an equicontinuous$\ast$-automorphism.
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,General Mathematics
Reference24 articles.
1. The operator K-functor and extensions of C ∗ -algebras;Kasparov;Izv. Akad. Nauk SSSR Ser. Mat.,1980
2. Jones index theory for Hilbert C∗-bimodules and its equivalence with conjugation theory
3. Generalized solenoids and C*-algebras
4. The C ∗ -algebra of a vector bundle;Dadarlat;J. Reine Angew. Math.,2012
Cited by
16 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献