Localization algebras and duality

Xiaoman Chen; Qin Wang

doi:10.1112/S0024610702003393

Localization algebras and duality

Xiaoman Chen^*
, Qin Wang

^*Corresponding author for this work

Fudan University
Donghua University

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

12 Scopus citations

Abstract

The paper studies the dual algebras of localization Roe algebras over proper metric spaces and develops a localization version of Paschke duality for K-homology. It is shown that the localization K-homology groups are isomorphic to Kasparov's K-homology groups for the Rips complex of proper metric spaces with bounded geometry. It follows that the obstruction groups to the coarse Baum-Connes conjecture can also be derived from the dual localization algebras.

Original language	English
Pages (from-to)	227-239
Number of pages	13
Journal	Journal of the London Mathematical Society
Volume	66
Issue number	1
DOIs	https://doi.org/10.1112/S0024610702003393
State	Published - Aug 2002
Externally published	Yes

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title = "Localization algebras and duality",

abstract = "The paper studies the dual algebras of localization Roe algebras over proper metric spaces and develops a localization version of Paschke duality for K-homology. It is shown that the localization K-homology groups are isomorphic to Kasparov's K-homology groups for the Rips complex of proper metric spaces with bounded geometry. It follows that the obstruction groups to the coarse Baum-Connes conjecture can also be derived from the dual localization algebras.",

author = "Xiaoman Chen and Qin Wang",

year = "2002",

month = aug,

doi = "10.1112/S0024610702003393",

language = "英语",

volume = "66",

pages = "227--239",

journal = "Journal of the London Mathematical Society",

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AU - Chen, Xiaoman

AU - Wang, Qin

PY - 2002/8

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N2 - The paper studies the dual algebras of localization Roe algebras over proper metric spaces and develops a localization version of Paschke duality for K-homology. It is shown that the localization K-homology groups are isomorphic to Kasparov's K-homology groups for the Rips complex of proper metric spaces with bounded geometry. It follows that the obstruction groups to the coarse Baum-Connes conjecture can also be derived from the dual localization algebras.

AB - The paper studies the dual algebras of localization Roe algebras over proper metric spaces and develops a localization version of Paschke duality for K-homology. It is shown that the localization K-homology groups are isomorphic to Kasparov's K-homology groups for the Rips complex of proper metric spaces with bounded geometry. It follows that the obstruction groups to the coarse Baum-Connes conjecture can also be derived from the dual localization algebras.

UR - https://www.scopus.com/pages/publications/0036691040

U2 - 10.1112/S0024610702003393

DO - 10.1112/S0024610702003393

M3 - 文章

AN - SCOPUS:0036691040

SN - 0024-6107

VL - 66

SP - 227

EP - 239

JO - Journal of the London Mathematical Society

JF - Journal of the London Mathematical Society

IS - 1

ER -

Localization algebras and duality

Abstract

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