The Classification of Limits of 2n-cycle Algebras

Authors

Allan P. Donsig, University of Nebraska - LincolnFollow
S. C. Power, Lancaster UniversityFollow

Document Type

Article

Date of this Version

1999

Citation

Indiana Univ. Math. J. 48 No. 2 (1999), 411-428

Abstract

We obtain a complete classification of the locally finite algebras A₀ = ͢alg lim A_k and the operator algebras A = ͢lim A_k associated with towers A₁ ≤ A₂ ≤ A₃ ... consisting of 2n-cycle algebras, where n ≥ 3, with the inclusions of rigid type. The complete isomorphism invariant is essentially the triple (K₀(A), H₁(A), ∑(A)) where K₀(A) is viewed as a scaled ordered group, H₁(A) is partial isometry homology group and ∑(A) ≤ K₀(A) H₁(A) is the 2n-cycle joint scale.