GROTHENDIECK GROUP INVARIANTS FOR PARTLY SELF-ADJOINT OPERATOR ALGEBRAS

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2 2 Ja n 19 99 GROTHENDIECK GROUP INVARIANTS FOR PARTLY SELF - ADJOINT OPERATOR ALGEBRAS

Partially ordered Grothendieck group invariants are introduced for general operator algebras and these are 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, ...

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ژورنال

عنوان ژورنال: International Journal of Mathematics

سال: 2000

ISSN: 0129-167X,1793-6519

DOI: 10.1142/s0129167x00000052