Étale Groupoids and Steinberg Algebras a Concise Introduction

Lisa Orloff Clark; Roozbeh Hazrat

doi:10.1007/978-981-15-1611-5_3

Étale Groupoids and Steinberg Algebras a Concise Introduction

Lisa Orloff Clark, Roozbeh Hazrat

Research output: Chapter in Book / Conference Paper › Chapter

5 Citations (Scopus)

Abstract

We give a concise introduction to (discrete) algebras arising from étale groupoids (aka Steinberg algebras) and describe their close relationship with groupoid$$C^*$$-algebras. Their connection to partial group rings via inverse semigroups is also explored.

Original language	English
Title of host publication	Leavitt Path Algebras and Classical K-Theory
Editors	A. A. Ambily, Roozbeh Hazrat, B. Sury
Place of Publication	Singapore
Publisher	Springer
Pages	73-101
Number of pages	29
ISBN (Electronic)	9789811516115
ISBN (Print)	9789811516108
DOIs	https://doi.org/10.1007/978-981-15-1611-5_3
Publication status	Published - 2020

Bibliographical note

Publisher Copyright:
© 2020, Springer Nature Singapore Pte Ltd.

Keywords

algebra
groupoids

Access to Document

10.1007/978-981-15-1611-5_3

Cite this

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title = "{\'E}tale Groupoids and Steinberg Algebras a Concise Introduction",

abstract = "We give a concise introduction to (discrete) algebras arising from {\'e}tale groupoids (aka Steinberg algebras) and describe their close relationship with groupoid$$C^*$$-algebras. Their connection to partial group rings via inverse semigroups is also explored.",

keywords = "algebra, groupoids",

author = "Clark, {Lisa Orloff} and Roozbeh Hazrat",

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language = "English",

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AU - Clark, Lisa Orloff

AU - Hazrat, Roozbeh

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AB - We give a concise introduction to (discrete) algebras arising from étale groupoids (aka Steinberg algebras) and describe their close relationship with groupoid$$C^*$$-algebras. Their connection to partial group rings via inverse semigroups is also explored.

KW - algebra

KW - groupoids

UR - https://hdl.handle.net/1959.7/uws:54118

UR - https://ebookcentral.proquest.com/lib/uwsau/reader.action?docID=6027278&ppg=87

U2 - 10.1007/978-981-15-1611-5_3

DO - 10.1007/978-981-15-1611-5_3

M3 - Chapter

SN - 9789811516108

SP - 73

EP - 101

BT - Leavitt Path Algebras and Classical K-Theory

A2 - Ambily, A. A.

A2 - Hazrat, Roozbeh

A2 - Sury, B.

PB - Springer

CY - Singapore

ER -

Étale Groupoids and Steinberg Algebras a Concise Introduction

Abstract

Bibliographical note

Keywords

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