Remarks on some simple c*-algebras admitting a unique lower semicontinuous 2-quasitrace

Jacopo Bassi

doi:10.4064/cm8171-3-2020

Remarks on some simple c*-algebras admitting a unique lower semicontinuous 2-quasitrace

Jacopo Bassi

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

Using different descriptions of the Cuntz semigroup and of the Pedersen ideal, it is shown that -unital simple C*-algebras with almost unperforated Cuntz semigroup, a unique lower semicontinuous 2-quasitrace and whose stabilization has almost stable rank 1 are either stable or algebraically simple.

Original language	English
Pages (from-to)	53-62
Number of pages	10
Journal	Colloquium Mathematicum
Volume	165
Issue number	1
DOIs	https://doi.org/10.4064/cm8171-3-2020
State	Published - 1 Jan 2021
Externally published	Yes

Keywords

C -algebras
Cuntz semigroup

ASJC Scopus subject areas

General Mathematics

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10.4064/cm8171-3-2020

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AB - Using different descriptions of the Cuntz semigroup and of the Pedersen ideal, it is shown that -unital simple C*-algebras with almost unperforated Cuntz semigroup, a unique lower semicontinuous 2-quasitrace and whose stabilization has almost stable rank 1 are either stable or algebraically simple.

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Remarks on some simple c*-algebras admitting a unique lower semicontinuous 2-quasitrace

Abstract

Keywords

ASJC Scopus subject areas

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