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

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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",

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year = "2020",

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doi = "10.1017/S0004972719000522",

language = "English",

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KW - homology groups

KW - one-dimensional solenoid

KW - Smale space

KW - stable Ruelle algebra

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

Abstract

Bibliographical note

Keywords

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