ar X iv : m at h / 05 11 27 5 v 2 [ m at h . G R ] 7 N ov 2 00 6 LIMIT GROUPS , POSITIVE - GENUS TOWERS AND MEASURE EQUIVALENCE
نویسندگان
چکیده
By definition, an ω-residually free tower is positive-genus if all surfaces used in its construction are of positive genus. We prove that every limit group is virtually a subgroup of a positive-genus ω-residually free tower. By combining this construction with results of Gaboriau, we prove that elementarily free groups are measure equivalent to free groups.
منابع مشابه
N ov 2 00 5 Limit groups , positive - genus towers and measure equivalence
An ω-residually free tower is positive-genus if all surfaces used in its construction are of positive genus. We prove that every limit group is virtually a subgroup of a positive-genus ω-residually free tower. By combining this with results of Gaboriau, we prove that elementarily free groups are measure equivalent to free groups. Measure equivalence was introduced by M. Gromov in [8] as a measu...
متن کاملLimit Groups, Positive-genus Towers and Measure Equivalence
By definition, an ω-residually free tower is positive-genus if all surfaces used in its construction are of positive genus. We prove that every limit group is virtually a subgroup of a positive-genus ω-residually free tower. By combining this construction with results of Gaboriau, we prove that elementarily free groups are measure equivalent to free groups.
متن کاملA Bratteli Diagram for Commuting Homeomorphisms of the Cantor Set
This paper presents a construction of a sequence of Kakutani-Rohlin Towers and a corresponding simple Bratteli Diagram, B, for a general minimal aperiodic Z d action on a Cantor Set, X, with d 2. This is applied to the description of the orbit structure and to the calculation of the ordered group of coinvariants. For each minimal continuous Z d action on X there is a minimal continuous Z action...
متن کاملAn initial study of topical poetry segmentation
Similarity Despite the low agreement, subsets (i.e., clusters) of coders may may agree more than others. Using 1−B (Fournier, 2013) as a distance function, hierarchical agglomerative clustering produces Figure 3, with the agreement for reach cluster shown in Figure 4. Line R E(J) E(b) 1 In Xanadu did Kubla Khan A 2 A stately pleasure-dome decree: B 3 Where Alph, the sacred river, ran C 4 Throug...
متن کاملEscape rates and physically relevant measures for billiards with small holes
We study the billiard map corresponding to a periodic Lorentz gas in 2-dimensions in the presence of small holes in the table. We allow holes in the form of open sets away from the scatterers as well as segments on the boundaries of the scatterers. For a large class of smooth initial distributions, we establish the existence of a common escape rate and normalized limiting distribution. This lim...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2005