GROUPOID EQUIVALENCE AND THE ASSOCIATED ITERATED CROSSED PRODUCT

被引：0

作者：

Brown, Jonathan Henry ^{[1
]}

Goehle, Geoff ^{[2
]}

Williams, Dana P. ^{[3
]}

机构：

[1] Kansas State Univ, Dept Math, 138 Cardwell Hall, Manhattan, KS 66506 USA

[2] Western Carolina Univ, Dept Math & Comp Sci, Cullowhee, NC 28723 USA

[3] Dartmouth Coll, Dept Math, Hanover, NH 03755 USA

来源：

HOUSTON JOURNAL OF MATHEMATICS | 2015年 / 41卷 / 01期

关键词：

Groupoids; crossed products; equivalence theorem; ALGEBRAS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given groupoids G and H and a (G, H)-equivalence X we may form the transformation groupoid G proportional to X x H. Given a separable groupoid dynamical system (A, G proportional to X x H, omega) we may restrict w to an action of G proportional to X on A and form the crossed product A (sic) G proportional to X. We show that there is an action of H on A x G proportional to X and that the iterated crossed product (A (sic) G proportional to X) x H is naturally isomorphic to the crossed product A (sic) (G proportional to X (sic) H).

引用

页码：153 / 175

页数：23

共 19 条

[1]

[Anonymous], 1974, Real and Complex Analysis

[2]

Arveson W.B., 1976, GRADUATE TEXTS MATH, V39

[3]

Brown Jonathan H., 2013, T AM MATH S IN PRESS

[4]

Brown JH, 2012, J OPERAT THEOR, V67, P437

[5]

Fell James M.G., 1988, BASIC REPRESENTATION, V125

[6] Continuous-trace groupoid crossed products [J].

Fulman, I ;

Muhly, PS ;

Williams, DP .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2004, 132 (03) :707-717

[7] Locally Unitary Groupoid Crossed Products [J].

Goehle, Geoff .

INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2011, 60 (02) :411-441

[8]

Goehle G, 2010, HOUSTON J MATH, V36, P567

[9]

Huef AA, 2000, T AM MATH SOC, V352, P4759

[10]

Kumjian A, 1998, AM J MATH, V120, P901

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