Classification of compact group actions on locally semisimple algebras

1985 ◽  
pp. 137-153
Author(s):  
David Handelman
Keyword(s):  
Compact Group ◽  
Group Actions ◽  
Semisimple Algebras

scholarly journals Countable sections for locally compact group actions

1992 ◽  
Vol 12 (2) ◽  
pp. 283-295 ◽  
Author(s):  
Alexander S. Kechris
Keyword(s):  
Compact Group ◽  
Equivalence Relation ◽  
Group Actions ◽  
Locally Compact Group ◽  
Borel Space ◽  
Locally Compact ◽  
Borel Equivalence Relation ◽  
Measurable Section ◽  
Singular Action

AbstractIt has been shown by J. Feldman, P. Hahn and C. C. Moore that every non-singular action of a second countable locally compact group has a countable (in fact so-called lacunary) complete measurable section. This is extended here to the purely Borel theoretic category, consisting of a Borel action of such a group on an analytic Borel space (without any measure). Characterizations of when an arbitrary Borel equivalence relation admits a countable complete Borel section are also established.

On orbit spaces of compact group actions

1982 ◽  
Vol 40 (3-4) ◽  
pp. 209-215
Author(s):  
Satya Deo ◽  
P. Palanichamy
Keyword(s):  
Compact Group ◽  
Group Actions ◽  
Orbit Spaces

Odd Order Group Actions and Witt Classification of Innerproducts

1977 ◽  
Author(s):  
John P. Alexander ◽  
Pierre E. Conner ◽  
Gary C. Hamrick
Keyword(s):  
Group Actions ◽  
Order Group ◽  
Odd Order

Group Actions and Singular Martingales II, The Recognition Problem

2004 ◽  
Vol 56 (2) ◽  
pp. 431-448
Author(s):  
Joseph Rosenblatt ◽  
Michael Taylor
Keyword(s):  
Inverse Problem ◽  
Compact Group ◽  
Harmonic Analysis ◽  
Group Actions ◽  
Gegenbauer Polynomials ◽  
Recognition Problem ◽  
Measurable Set

AbstractWe continue our investigation in [RST] of a martingale formed by picking a measurable set A in a compact group G, taking random rotates of A, and considering measures of the resulting intersections, suitably normalized. Here we concentrate on the inverse problem of recognizing A from a small amount of data from this martingale. This leads to problems in harmonic analysis on G, including an analysis of integrals of products of Gegenbauer polynomials.

scholarly journals Compact group actions that raise dimension to infinity

1997 ◽  
Vol 80 (1-2) ◽  
pp. 101-114 ◽  
Author(s):  
A.N. Dranishnikov ◽  
J.E. West
Keyword(s):  
Compact Group ◽  
Group Actions

Inequivalent, bordant group actions on a surface

1986 ◽  
Vol 99 (2) ◽  
pp. 233-238 ◽  
Author(s):  
Charles Livingston
Keyword(s):  
Fixed Point ◽  
Finite Groups ◽  
Group Actions ◽  
Free Actions ◽  
Orientable Surfaces

An action of a group, G, on a surface, F, consists of a homomorphismø: G → Homeo (F).We will restrict our discussion to finite groups acting on closed, connected, orientable surfaces, with ø(g) orientation-preserving for all g ε G. In addition we will consider only effective (ø is injective) free actions. Free means that ø(g) is fixed-point-free for all g ε G, g ≠ 1. This paper addresses the classification of such actions.

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