Generalized inductive limits of quasidiagonal C*-algebras

Nathanial P. Brown

doi:10.1016/j.jfa.2011.09.016

Generalized inductive limits of quasidiagonal C^*-algebras

Nathanial P. Brown

Mathematics

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

2 Scopus citations

Abstract

If A is a unital quasidiagonal C^*-algebra, we construct a generalized inductive limit B_A which is simple, unital and inherits many structural properties from A. If A is the unitization of a non-simple purely infinite algebra (e.g., the cone over a Cuntz algebra), then B_A is tracially AF which, among other things, lends support to a conjecture of Toms.

Original language	English (US)
Pages (from-to)	451-462
Number of pages	12
Journal	Journal of Functional Analysis
Volume	262
Issue number	2
DOIs	https://doi.org/10.1016/j.jfa.2011.09.016
State	Published - Jan 15 2012

All Science Journal Classification (ASJC) codes

Analysis

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10.1016/j.jfa.2011.09.016

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title = "Generalized inductive limits of quasidiagonal C*-algebras",

abstract = "If A is a unital quasidiagonal C*-algebra, we construct a generalized inductive limit BA which is simple, unital and inherits many structural properties from A. If A is the unitization of a non-simple purely infinite algebra (e.g., the cone over a Cuntz algebra), then BA is tracially AF which, among other things, lends support to a conjecture of Toms.",

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AB - If A is a unital quasidiagonal C*-algebra, we construct a generalized inductive limit BA which is simple, unital and inherits many structural properties from A. If A is the unitization of a non-simple purely infinite algebra (e.g., the cone over a Cuntz algebra), then BA is tracially AF which, among other things, lends support to a conjecture of Toms.

UR - https://www.scopus.com/pages/publications/80955142623

UR - https://www.scopus.com/pages/publications/80955142623#tab=citedBy

U2 - 10.1016/j.jfa.2011.09.016

DO - 10.1016/j.jfa.2011.09.016

M3 - Article

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SP - 451

EP - 462

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 2

ER -

Generalized inductive limits of quasidiagonal C^*-algebras

Abstract

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