A classification of inductive limits of splitting interval algebras

Luis Santiago

A classification of inductive limits of splitting interval algebras

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arxiv 1011.6559 v1 pith:CZXKTKDJ submitted 2010-11-30 math.OA

Luis Santiago This is my paper · ORCID

classification math.OA

keywords algebrasinductiveintervalsplittingclassificationcompletecuntzdirect

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It is shown that the Cuntz semigroup is a complete invariant for the C*-algebras that can be realized as an inductive limit of a sequence of finite direct sums of splitting interval algebras.

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$C^*$-diagonal of inductive limit of $1$-dimensional NCCW complexes
math.OA 2025-05 conditional novelty 6.0 of 10

Inductive limits of 1-dimensional NCCW complexes with trivial K1-groups and injective unital connecting maps always admit a C*-diagonal.

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