The Capelli identity, the double commutant theorem, and multiplicity-free actions

1991 ◽  
Vol 290 (1) ◽  
pp. 565-619 ◽  
Author(s):  
Roger Howe ◽  
T�ru Umeda
Keyword(s):  
Capelli Identity ◽  
Multiplicity Free ◽  
Double Commutant ◽  
Free Actions

scholarly journals A Classification of Multiplicity Free Actions

1996 ◽  
Vol 181 (1) ◽  
pp. 152-186 ◽  
Author(s):  
Chal Benson ◽  
Gail Ratcliff
Keyword(s):  
Multiplicity Free ◽  
Free Actions

Constructing free actions on $\mathbf{R}$ -trees

1993 ◽  
Vol 69 (3) ◽  
pp. 615-633 ◽  
Author(s):  
Gilbert Levitt
Keyword(s):  
Free Actions

Orbit equivalence and actions of

2006 ◽  
Vol 71 (1) ◽  
pp. 265-282 ◽  
Author(s):  
Asge Törnquist
Keyword(s):  
Probability Space ◽  
Free Groups ◽  
Orbit Equivalence ◽  
Borel Probability ◽  
Free Actions ◽  
Measure Preserving Transformations

AbstractIn this paper we show that there are “E0 many” orbit inequivalent free actions of the free groups , 2 ≤ n ≤ ∞ by measure preserving transformations on a standard Borel probability space. In particular, there are uncountably many such actions.

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