Traceless AF embeddings and unsuspended E-theory

James Gabe

doi:10.1007/s00039-020-00528-2

Traceless AF embeddings and unsuspended E-theory

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

Abstrakt

I show that quasidiagonality and AF embeddability are equivalent properties for traceless C ^∗-algebras and are characterised in terms of the primitive ideal space. For nuclear C ^∗-algebras the same characterisation determines when Connes and Higson’s E-theory can be unsuspended.

Originalsprog	Engelsk
Tidsskrift	Geometric and Functional Analysis
Vol/bind	30
Udgave nummer	2
Sider (fra-til)	323-333
ISSN	1016-443X
DOI	https://doi.org/10.1007/s00039-020-00528-2
Status	Udgivet - 2020
Udgivet eksternt	Ja

Dokumenter og links

10.1007/s00039-020-00528-2

Citationsformater

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AB - I show that quasidiagonality and AF embeddability are equivalent properties for traceless C ∗-algebras and are characterised in terms of the primitive ideal space. For nuclear C ∗-algebras the same characterisation determines when Connes and Higson’s E-theory can be unsuspended.

KW - AF embeddability

KW - Traceless C -algebras

KW - Unsuspended E-theory

U2 - 10.1007/s00039-020-00528-2

DO - 10.1007/s00039-020-00528-2

M3 - Journal article

VL - 30

SP - 323

EP - 333

JO - Geometric and Functional Analysis

JF - Geometric and Functional Analysis

SN - 1016-443X

IS - 2

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Traceless AF embeddings and unsuspended E-theory

Abstrakt

Dokumenter og links

Fingeraftryk

Citationsformater