p-summable localization ⁎-algebras and Roe ⁎-algebras

Hang Wang; Chaohua Zhang; Dapeng Zhou

doi:10.1016/j.jmaa.2025.129888

p-summable localization ⁎-algebras and Roe ⁎-algebras

Hang Wang, Chaohua Zhang, Dapeng Zhou

School of Mathematical Sciences

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

Abstract

Inspired by the notion of p-summable Fredholm modules, we introduce p-summable localization ⁎-algebras and p-summable Roe ⁎-algebras, and prove that they are dense ⁎-subalgebras of localization algebras and Roe algebras respectively.

Original language	English
Article number	129888
Journal	Journal of Mathematical Analysis and Applications
Volume	553
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2025.129888
State	Published - 1 Jan 2026

Keywords

K-homology
K-theory
Localization algebra
Roe algebra
Schatten p class operator

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10.1016/j.jmaa.2025.129888

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title = "p-summable localization ⁎-algebras and Roe ⁎-algebras",

abstract = "Inspired by the notion of p-summable Fredholm modules, we introduce p-summable localization ⁎-algebras and p-summable Roe ⁎-algebras, and prove that they are dense ⁎-subalgebras of localization algebras and Roe algebras respectively.",

keywords = "K-homology, K-theory, Localization algebra, Roe algebra, Schatten p class operator",

author = "Hang Wang and Chaohua Zhang and Dapeng Zhou",

note = "Publisher Copyright: {\textcopyright} 2025 Elsevier Inc.",

year = "2026",

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day = "1",

doi = "10.1016/j.jmaa.2025.129888",

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T1 - p-summable localization ⁎-algebras and Roe ⁎-algebras

AU - Wang, Hang

AU - Zhang, Chaohua

AU - Zhou, Dapeng

PY - 2026/1/1

Y1 - 2026/1/1

N2 - Inspired by the notion of p-summable Fredholm modules, we introduce p-summable localization ⁎-algebras and p-summable Roe ⁎-algebras, and prove that they are dense ⁎-subalgebras of localization algebras and Roe algebras respectively.

AB - Inspired by the notion of p-summable Fredholm modules, we introduce p-summable localization ⁎-algebras and p-summable Roe ⁎-algebras, and prove that they are dense ⁎-subalgebras of localization algebras and Roe algebras respectively.

KW - K-homology

KW - K-theory

KW - Localization algebra

KW - Roe algebra

KW - Schatten p class operator

UR - https://www.scopus.com/pages/publications/105010855618

U2 - 10.1016/j.jmaa.2025.129888

DO - 10.1016/j.jmaa.2025.129888

M3 - 文章

AN - SCOPUS:105010855618

SN - 0022-247X

VL - 553

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

M1 - 129888

ER -

p-summable localization ⁎-algebras and Roe ⁎-algebras

Abstract

Keywords

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