Approximately inner derivations

Ola Bratteli; Akitaka Kishimoto; Derek W. Robinson

doi:10.7146/math.scand.a-15074

Approximately inner derivations

Ola Bratteli^*, Akitaka Kishimoto, Derek W. Robinson

^*Corresponding author for this work

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

7 Citations (Scopus)

Abstract

Let α be an approximately inner flow on a C*-algebra A with generator δ and let δ_n denote the bounded generators of the approximating flows α⁽ⁿ⁾ We analyze the structure of the set script D = {x ∈ D(δ): lim δ_n(x) = δ(x)} _n→∞ of pointwise convergence of the generators. In particular we examine the relationship of script D and various cores related to spectral subspaces.

Original language	English
Pages (from-to)	141-160
Number of pages	20
Journal	Mathematica Scandinavica
Volume	103
Issue number	1
DOIs	https://doi.org/10.7146/math.scand.a-15074
Publication status	Published - 2008

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title = "Approximately inner derivations",

abstract = "Let α be an approximately inner flow on a C*-algebra A with generator δ and let δn denote the bounded generators of the approximating flows α(n) We analyze the structure of the set script D = \{x ∈ D(δ): lim δn(x) = δ(x)\} n→∞ of pointwise convergence of the generators. In particular we examine the relationship of script D and various cores related to spectral subspaces.",

author = "Ola Bratteli and Akitaka Kishimoto and Robinson, \{Derek W.\}",

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AU - Kishimoto, Akitaka

AU - Robinson, Derek W.

PY - 2008

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AB - Let α be an approximately inner flow on a C*-algebra A with generator δ and let δn denote the bounded generators of the approximating flows α(n) We analyze the structure of the set script D = {x ∈ D(δ): lim δn(x) = δ(x)} n→∞ of pointwise convergence of the generators. In particular we examine the relationship of script D and various cores related to spectral subspaces.

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U2 - 10.7146/math.scand.a-15074

DO - 10.7146/math.scand.a-15074

M3 - Article

SN - 0025-5521

VL - 103

SP - 141

EP - 160

JO - Mathematica Scandinavica

JF - Mathematica Scandinavica

IS - 1

ER -

Approximately inner derivations

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