Transitive partial actions of groups

Keunbae Choi; Yongdo Lim

doi:10.1007/s10998-008-6169-8

Transitive partial actions of groups

Keunbae Choi, Yongdo Lim

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

7 Scopus citations

Abstract

J. Kellendonk and M. V. Lawson established that each partial action of a group G on a set Y can be extended to a global action of G on a set Y _G containing a copy of Y. In this paper we classify transitive partial group actions. When G is a topological group acting on a topological space Y partially and transitively we give a condition for having a Hausdorff topology on Y_G such that the global group action of G on Y _G is continuous and the injection Y into Y_G is an open dense equivariant embedding.

Original language	English
Pages (from-to)	169-181
Number of pages	13
Journal	Periodica Mathematica Hungarica
Volume	56
Issue number	2
DOIs	https://doi.org/10.1007/s10998-008-6169-8
State	Published - Jun 2008
Externally published	Yes

Keywords

Partial action
Symmetric inverse monoid

Access to Document

10.1007/s10998-008-6169-8

Cite this

@article{d34d2b0614f14b7292aa0735b7be242b,

title = "Transitive partial actions of groups",

abstract = "J. Kellendonk and M. V. Lawson established that each partial action of a group G on a set Y can be extended to a global action of G on a set Y G containing a copy of Y. In this paper we classify transitive partial group actions. When G is a topological group acting on a topological space Y partially and transitively we give a condition for having a Hausdorff topology on YG such that the global group action of G on Y G is continuous and the injection Y into YG is an open dense equivariant embedding.",

keywords = "Partial action, Symmetric inverse monoid",

author = "Keunbae Choi and Yongdo Lim",

year = "2008",

month = jun,

doi = "10.1007/s10998-008-6169-8",

language = "English",

volume = "56",

pages = "169--181",

journal = "Periodica Mathematica Hungarica",

issn = "0031-5303",

publisher = "Springer Nature",

number = "2",

}

TY - JOUR

T1 - Transitive partial actions of groups

AU - Choi, Keunbae

AU - Lim, Yongdo

PY - 2008/6

Y1 - 2008/6

N2 - J. Kellendonk and M. V. Lawson established that each partial action of a group G on a set Y can be extended to a global action of G on a set Y G containing a copy of Y. In this paper we classify transitive partial group actions. When G is a topological group acting on a topological space Y partially and transitively we give a condition for having a Hausdorff topology on YG such that the global group action of G on Y G is continuous and the injection Y into YG is an open dense equivariant embedding.

AB - J. Kellendonk and M. V. Lawson established that each partial action of a group G on a set Y can be extended to a global action of G on a set Y G containing a copy of Y. In this paper we classify transitive partial group actions. When G is a topological group acting on a topological space Y partially and transitively we give a condition for having a Hausdorff topology on YG such that the global group action of G on Y G is continuous and the injection Y into YG is an open dense equivariant embedding.

KW - Partial action

KW - Symmetric inverse monoid

UR - https://www.scopus.com/pages/publications/44949152389

U2 - 10.1007/s10998-008-6169-8

DO - 10.1007/s10998-008-6169-8

M3 - Article

AN - SCOPUS:44949152389

SN - 0031-5303

VL - 56

SP - 169

EP - 181

JO - Periodica Mathematica Hungarica

JF - Periodica Mathematica Hungarica

IS - 2

ER -

Transitive partial actions of groups

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this