scholarly journals Ergodic Theorems for Free Group Actions on von Neumann Algebras

1997 ◽  
Vol 150 (1) ◽  
pp. 27-47 ◽  
Author(s):  
Trent E. Walker
Keyword(s):  
Free Group ◽  
Von Neumann Algebras ◽  
Group Actions ◽  
Ergodic Theorems ◽  
Von Neumann ◽  
Free Group Actions

Ergodic theorems for semifinite von Neumann algebras: II

1980 ◽  
Vol 88 (1) ◽  
pp. 135-147 ◽  
Author(s):  
F. J. Yeadon
Keyword(s):  
Banach Spaces ◽  
Ergodic Theorem ◽  
Von Neumann Algebra ◽  
Von Neumann Algebras ◽  
Operator Norm ◽  
Ergodic Theorems ◽  
Unbounded Operators ◽  
Von Neumann ◽  
The Mean ◽  
Image Position

In (7) we proved maximal and pointwise ergodic theorems for transformations a of a von Neumann algebra which are linear positive and norm-reducing for both the operator norm ‖ ‖∞ and the integral norm ‖ ‖1 associated with a normal trace ρ on . Here we introduce a class of Banach spaces of unbounded operators, including the Lp spaces defined in (6), in which the transformations α reduce the norm, and in which the mean ergodic theorem holds; that is the averagesconverge in norm.

Rings with Fixed-Point-Free Group Actions

1973 ◽  
Vol s3-27 (1) ◽  
pp. 69-87 ◽  
Author(s):  
G. M. Bergman ◽  
I. M. Isaacs
Keyword(s):  
Fixed Point ◽  
Free Group ◽  
Group Actions ◽  
Free Group Actions

GAUGE SYMMETRY BREAKING IN SUPERCONFORMAL ORBIFOLDS

1991 ◽  
Vol 06 (07) ◽  
pp. 591-603
Author(s):  
B.R. GREENE ◽  
M.R. PLESSER ◽  
EDMOND RUSJAN ◽  
XING-MIN WANG
Keyword(s):  
Gauge Symmetry ◽  
Symmetry Breaking ◽  
Symmetry Group ◽  
Free Group ◽  
Group Actions ◽  
Wilson Loops ◽  
String Compactifications ◽  
Free Group Actions

We study the construction of (2, 0) theories from orbifolds of N=2 minimal superconformal string compactifications with non-trivial Wilson loops. In particular, we exploit the connection between geometrical and exactly soluble string vacua to arrive at a mean of analyzing Calabi-Yau orbifolds containing ‘Wilson loops’ associated with non-free group actions, breaking the E6 gauge symmetry of the model as well the ‘shadow’ E8 gauge symmetry group. We apply our results to recently proposed three generation constructions of this sort and find spectra which differ from previous claims and which possess exceptionally desirable phenomenological properties.

Sign in / Sign up

Export Citation Format

Share Document