On C*-algebras associated with C*-correspondences

研究成果: Article

114 引用 (Scopus)

抄録

We study C*-algebras arising from C* -correspondences, which were introduced by the author. We prove the gauge-invariant uniqueness theorem, and obtain conditions for our C*-algebras to be nuclear, exact, or satisfy the Universal Coefficient Theorem. We also obtain a 6-term exact sequence of K-groups involving the K-groups of our C*-algebras.

元の言語English
ページ(範囲)366-401
ページ数36
ジャーナルJournal of Functional Analysis
217
発行部数2
DOI
出版物ステータスPublished - 2004 12 15
外部発表Yes

Fingerprint

C*-algebra
Correspondence
K-group
Exact Sequence
Uniqueness Theorem
Gauge
Invariant
Coefficient
Term
Theorem

ASJC Scopus subject areas

  • Analysis

これを引用

On C*-algebras associated with C*-correspondences. / Katsura, Takeshi.

:: Journal of Functional Analysis, 巻 217, 番号 2, 15.12.2004, p. 366-401.

研究成果: Article

@article{2317c9d8754942cdbf090ca5b901b13e,
title = "On C*-algebras associated with C*-correspondences",
abstract = "We study C*-algebras arising from C* -correspondences, which were introduced by the author. We prove the gauge-invariant uniqueness theorem, and obtain conditions for our C*-algebras to be nuclear, exact, or satisfy the Universal Coefficient Theorem. We also obtain a 6-term exact sequence of K-groups involving the K-groups of our C*-algebras.",
keywords = "C*-correspondences, Cuntz-Pimsner algebras, Exact, Gauge action, Hilbert modules, K-groups, Nuclear",
author = "Takeshi Katsura",
year = "2004",
month = "12",
day = "15",
doi = "10.1016/j.jfa.2004.03.010",
language = "English",
volume = "217",
pages = "366--401",
journal = "Journal of Functional Analysis",
issn = "0022-1236",
publisher = "Academic Press Inc.",
number = "2",

}

TY - JOUR

T1 - On C*-algebras associated with C*-correspondences

AU - Katsura, Takeshi

PY - 2004/12/15

Y1 - 2004/12/15

N2 - We study C*-algebras arising from C* -correspondences, which were introduced by the author. We prove the gauge-invariant uniqueness theorem, and obtain conditions for our C*-algebras to be nuclear, exact, or satisfy the Universal Coefficient Theorem. We also obtain a 6-term exact sequence of K-groups involving the K-groups of our C*-algebras.

AB - We study C*-algebras arising from C* -correspondences, which were introduced by the author. We prove the gauge-invariant uniqueness theorem, and obtain conditions for our C*-algebras to be nuclear, exact, or satisfy the Universal Coefficient Theorem. We also obtain a 6-term exact sequence of K-groups involving the K-groups of our C*-algebras.

KW - C-correspondences

KW - Cuntz-Pimsner algebras

KW - Exact

KW - Gauge action

KW - Hilbert modules

KW - K-groups

KW - Nuclear

UR - http://www.scopus.com/inward/record.url?scp=4344667779&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=4344667779&partnerID=8YFLogxK

U2 - 10.1016/j.jfa.2004.03.010

DO - 10.1016/j.jfa.2004.03.010

M3 - Article

AN - SCOPUS:4344667779

VL - 217

SP - 366

EP - 401

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

SN - 0022-1236

IS - 2

ER -