K-Theoretic Characterization of C*-Algebras with Approximately Inner Flip

Aaron Tikuisis

doi:10.1093/imrn/rnv334

K-Theoretic Characterization of C*-Algebras with Approximately Inner Flip

Aaron Tikuisis

Mathematical Science

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Abstract

It is determined exactly which classifiable C*-algebras
have approximately inner flip. The answer includes a number of
C*-algebras with torsion in their K-theory, and a number of C*-
algebras that are self-absorbing but not strongly self-absorbing

Original language	English
Pages (from-to)	5670-5694
Number of pages	25
Journal	International Mathematics Research Notices
Volume	2016
Issue number	18
Early online date	18 Nov 2015
DOIs	https://doi.org/10.1093/imrn/rnv334
Publication status	Published - 2016

Keywords

Nuclear C∗ -algebras
K-theory
approximately inner flip
strongly self-absorbing C*-algebras
classification of nuclear C*-algebras

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10.1093/imrn/rnv334Licence: Unspecified

Accepted Manuscript
This is a pre-copyedited, author-produced PDF of an article accepted for publication in International Mathematics Research Notices following peer review. The version of recordInt Math Res Notices (2016) 2016 (18): 5670-5694., is available online at: doi: 10.1093/imrn/rnv334
Accepted author manuscript, 393 KBLicence: Unspecified

Cite this

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title = "K-Theoretic Characterization of C*-Algebras with Approximately Inner Flip",

abstract = "It is determined exactly which classifiable C*-algebrashave approximately inner flip. The answer includes a number ofC*-algebras with torsion in their K-theory, and a number of C*-algebras that are self-absorbing but not strongly self-absorbing",

keywords = "Nuclear C∗ -algebras, K-theory, approximately inner flip, strongly self-absorbing C*-algebras, classification of nuclear C*-algebras",

author = "Aaron Tikuisis",

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year = "2016",

doi = "10.1093/imrn/rnv334",

language = "English",

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pages = "5670--5694",

journal = "International Mathematics Research Notices",

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publisher = "Oxford University Press",

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T1 - K-Theoretic Characterization of C*-Algebras with Approximately Inner Flip

AU - Tikuisis, Aaron

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N2 - It is determined exactly which classifiable C*-algebrashave approximately inner flip. The answer includes a number ofC*-algebras with torsion in their K-theory, and a number of C*-algebras that are self-absorbing but not strongly self-absorbing

AB - It is determined exactly which classifiable C*-algebrashave approximately inner flip. The answer includes a number ofC*-algebras with torsion in their K-theory, and a number of C*-algebras that are self-absorbing but not strongly self-absorbing

KW - Nuclear C∗ -algebras

KW - K-theory

KW - approximately inner flip

KW - strongly self-absorbing C-algebras

KW - classification of nuclear C-algebras

U2 - 10.1093/imrn/rnv334

DO - 10.1093/imrn/rnv334

M3 - Article

VL - 2016

SP - 5670

EP - 5694

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

SN - 1073-7928

IS - 18

ER -

K-Theoretic Characterization of C*-Algebras with Approximately Inner Flip

Abstract

Keywords

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