2 2 Ja n 19 99 GROTHENDIECK GROUP INVARIANTS FOR PARTLY SELF - ADJOINT OPERATOR ALGEBRAS
نویسنده
چکیده
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, generalises both the K 0 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 G r H (−) which nevertheless forms the basis for a complete classification of regular systems of H-algebras.
منابع مشابه
. O A ] 8 O ct 1 99 8 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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