A Free Product Formula for the Sofic Dimension
نویسندگان
چکیده
منابع مشابه
A Free Product Formula for the Sofic Dimension
It is proved that if G = G1 ∗G3 G2 is free product of probability measure preserving s-regular ergodic discrete groupoids amalgamated over an amenable subgroupoid G3, then the sofic dimension s(G) satisfies the equality s(G) = h(G01)s(G1) + h(G 0 2)s(G2) − h(G 0 3)s(G3) where h is the normalized Haar measure on G. Let G be a group. The sofic dimension of G is an asymptotic invariant that accoun...
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ژورنال
عنوان ژورنال: Canadian Journal of Mathematics
سال: 2015
ISSN: 0008-414X,1496-4279
DOI: 10.4153/cjm-2014-019-5