Grothendieck group invariants for partly self-adjoint operator algebras.

Power, Stephen C. (2000) Grothendieck group invariants for partly self-adjoint operator algebras. International Journal of Mathematics, 11 (1). pp. 41-64. ISSN 0129-167X

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Partially ordered Grothendieck group invariants are introduced for general operator algebras and used in the classification of direct systems and direct limits of finite-dimensional complex incidence algebras with common reduced digraph H (systems of H-algebras). In particular the dimension distribution group G (A; C), defined for an operator algebra A and a self-adjoint subalgebra C, generalizes both the K0 group of a σ-unital C*-algebra B and the spectrum (fundamental relation) R(A) of a regular limit A of triangular digraph algebras. This invariant is more economical and computable than the regular Grothendieck group which nevertheless forms the basis for a complete classification of regular systems of H-algebras.

Item Type: Journal Article
Journal or Publication Title: International Journal of Mathematics
Uncontrolled Keywords: /dk/atira/pure/researchoutput/libraryofcongress/qa
Departments: Faculty of Science and Technology > Mathematics and Statistics
ID Code: 19365
Deposited By: ep_ss_importer
Deposited On: 17 Nov 2008 16:45
Refereed?: Yes
Published?: Published
Last Modified: 22 Jan 2020 05:51

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