Homology and matui's hk conjecture for groupoids on one-dimensional solenoids

Inhyeop Yi

doi:10.1017/S0004972719000522

Homology and matui's hk conjecture for groupoids on one-dimensional solenoids

Inhyeop Yi

Department of Mathematics Education

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

7 Scopus citations

Abstract

We show that Matui's HK conjecture holds for groupoids of unstable equivalence relations and their corresponding -algebras on one-dimensional solenoids.

Original language	English
Pages (from-to)	105-117
Number of pages	13
Journal	Bulletin of the Australian Mathematical Society
Volume	101
Issue number	1
DOIs	https://doi.org/10.1017/S0004972719000522
State	Published - 1 Feb 2020

Bibliographical note

Publisher Copyright:
© 2019 Australian Mathematical Publishing Association Inc.

Keywords

groupoid
HK conjecture
homology groups
one-dimensional solenoid
Smale space
stable Ruelle algebra

Access to Document

10.1017/S0004972719000522

Cite this

@article{da7a53adb0ee4edf8bd3385cbf2db9bf,

title = "Homology and matui's hk conjecture for groupoids on one-dimensional solenoids",

abstract = "We show that Matui's HK conjecture holds for groupoids of unstable equivalence relations and their corresponding -algebras on one-dimensional solenoids.",

keywords = "groupoid, HK conjecture, homology groups, one-dimensional solenoid, Smale space, stable Ruelle algebra",

author = "Inhyeop Yi",

note = "Publisher Copyright: {\textcopyright} 2019 Australian Mathematical Publishing Association Inc.",

year = "2020",

month = feb,

day = "1",

doi = "10.1017/S0004972719000522",

language = "English",

volume = "101",

pages = "105--117",

journal = "Bulletin of the Australian Mathematical Society",

issn = "0004-9727",

publisher = "Cambridge University Press",

number = "1",

}

TY - JOUR

T1 - Homology and matui's hk conjecture for groupoids on one-dimensional solenoids

AU - Yi, Inhyeop

PY - 2020/2/1

Y1 - 2020/2/1

N2 - We show that Matui's HK conjecture holds for groupoids of unstable equivalence relations and their corresponding -algebras on one-dimensional solenoids.

AB - We show that Matui's HK conjecture holds for groupoids of unstable equivalence relations and their corresponding -algebras on one-dimensional solenoids.

KW - groupoid

KW - HK conjecture

KW - homology groups

KW - one-dimensional solenoid

KW - Smale space

KW - stable Ruelle algebra

UR - https://www.scopus.com/pages/publications/85065848854

U2 - 10.1017/S0004972719000522

DO - 10.1017/S0004972719000522

M3 - Article

AN - SCOPUS:85065848854

SN - 0004-9727

VL - 101

SP - 105

EP - 117

JO - Bulletin of the Australian Mathematical Society

JF - Bulletin of the Australian Mathematical Society

IS - 1

ER -

Homology and matui's hk conjecture for groupoids on one-dimensional solenoids

Abstract

Bibliographical note

Keywords

Access to Document

Fingerprint

Cite this