Quasi-diagonal flows

Akitaka Kishimoto; Derekw Robinson

Quasi-diagonal flows

Akitaka Kishimoto^*, Derekw Robinson

^*Corresponding author for this work

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

2 Citations (Scopus)

Abstract

We introduce two notions for flows (or one-parameter automorphism groups) on quasi-diagonal C*-algebras, quasi-diagonal and pseudodiagonal flows; the former being apparently stronger than the latter. We derive basic facts about these flows and give various examples. In addition we extend results of Voiculescu from quasi-diagonal C*-algebras to these flows.

Original language	English
Pages (from-to)	353-384
Number of pages	32
Journal	Journal of Operator Theory
Volume	66
Issue number	2
Publication status	Published - 2011

Cite this

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title = "Quasi-diagonal flows",

abstract = "We introduce two notions for flows (or one-parameter automorphism groups) on quasi-diagonal C*-algebras, quasi-diagonal and pseudodiagonal flows; the former being apparently stronger than the latter. We derive basic facts about these flows and give various examples. In addition we extend results of Voiculescu from quasi-diagonal C*-algebras to these flows.",

keywords = "Approximately inner, C*-algebra, Crossed product, Flow, KMS state, Pseudo-diagonal, Quasi-diagonal, Weyl-von Neumann theorem",

author = "Akitaka Kishimoto and Derekw Robinson",

year = "2011",

language = "English",

volume = "66",

pages = "353--384",

journal = "Journal of Operator Theory",

issn = "0379-4024",

publisher = "Theta Foundation",

number = "2",

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TY - JOUR

T1 - Quasi-diagonal flows

AU - Kishimoto, Akitaka

AU - Robinson, Derekw

PY - 2011

Y1 - 2011

N2 - We introduce two notions for flows (or one-parameter automorphism groups) on quasi-diagonal C*-algebras, quasi-diagonal and pseudodiagonal flows; the former being apparently stronger than the latter. We derive basic facts about these flows and give various examples. In addition we extend results of Voiculescu from quasi-diagonal C*-algebras to these flows.

AB - We introduce two notions for flows (or one-parameter automorphism groups) on quasi-diagonal C*-algebras, quasi-diagonal and pseudodiagonal flows; the former being apparently stronger than the latter. We derive basic facts about these flows and give various examples. In addition we extend results of Voiculescu from quasi-diagonal C*-algebras to these flows.

KW - Approximately inner

KW - C-algebra

KW - Crossed product

KW - Flow

KW - KMS state

KW - Pseudo-diagonal

KW - Quasi-diagonal

KW - Weyl-von Neumann theorem

UR - https://www.scopus.com/pages/publications/82355182370

M3 - Article

SN - 0379-4024

VL - 66

SP - 353

EP - 384

JO - Journal of Operator Theory

JF - Journal of Operator Theory

IS - 2

ER -

Quasi-diagonal flows

Abstract

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