Nonabelian free group actions: Markov processes, the Abramov–Rohlin formula and Yuzvinskii’s formula – CORRIGENDUM

2012 ◽  
Vol 33 (2) ◽  
pp. 643-645
Author(s):  
LEWIS BOWEN ◽  
YONATAN GUTMAN
Keyword(s):  
Markov Processes ◽  
Free Group ◽  
Group Actions ◽  
Free Group Actions

scholarly journals A Juzvinskii addition theorem for finitely generated free group actions

2012 ◽  
Vol 34 (1) ◽  
pp. 95-109 ◽  
Author(s):  
LEWIS BOWEN ◽  
YONATAN GUTMAN
Keyword(s):  
Markov Processes ◽  
Free Group ◽  
Group Actions ◽  
Addition Theorem ◽  
Skew Product ◽  
Compact Lie Groups ◽  
Finitely Generated ◽  
Skew Products ◽  
Totally Disconnected ◽  
Free Group Actions

AbstractThe classical Juzvinskii addition theorem states that the entropy of an automorphism of a compact group decomposes along invariant subgroups. Thomas generalized the theorem to a skew-product setting. Using L. Bowen’s f-invariant, we prove the addition theorem for actions of finitely generated free groups on skew-products with compact totally disconnected groups or compact Lie groups (correcting an error in L. Bowen [Nonabelian free group actions: Markov processes, the Abramov–Rohlin formula and Yuzvinskii’s formula. Ergod. Th. & Dynam. Sys.30(6) (2010), 1629–1663]) and discuss examples.

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.

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