On weights, traces and K-theory

Fuente: arXiv
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Main Author: Thomsen, Klaus
Format: Preprint
Published: 2022
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author Thomsen, Klaus
author_facet Thomsen, Klaus
contents It is shown that the pairing of the K00 group of a C*-algebra with the densely defined traces of the algebra can be extended to a pairing with the densely defined weights. For traces the pairing can be extended to the K0 group without the semi-continuity assumption occurring in the work of Connes and Elliott.
format Preprint
id arxiv_https___arxiv_org_abs_2211_03172
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle On weights, traces and K-theory
Thomsen, Klaus
Operator Algebras
It is shown that the pairing of the K00 group of a C*-algebra with the densely defined traces of the algebra can be extended to a pairing with the densely defined weights. For traces the pairing can be extended to the K0 group without the semi-continuity assumption occurring in the work of Connes and Elliott.
title On weights, traces and K-theory
topic Operator Algebras
url https://arxiv.org/abs/2211.03172