Algebraic entropy of amenable group actions
Copyright policy )Algebraic entropy of amenable group actions
Let $R$ be a ring, let $G$ be an amenable group and let $R\ast G$ be a crossed product. The goal of this paper is to construct, starting with a suitable additive function $L$ on the category of left modules over $R$, an additive function on a subcategory of the category of left modules over $R\ast G$, which coincides with the whole category if $L({}_RR)
- University of Murcia Spain
algebraic entropy, Localization of categories, calculus of fractions, length functions, zero divisors, Means on groups, semigroups, etc.; amenable groups, Mathematics - Rings and Algebras, Group Theory (math.GR), Twisted and skew group rings, crossed products, 18E15, 18E35, 16S35, 16D10, 43A07, Gabriel dimension, stable finiteness, amenable groups, Rings and Algebras (math.RA), FOS: Mathematics, Representation Theory (math.RT), General module theory in associative algebras, Mathematics - Group Theory, Mathematics - Representation Theory
algebraic entropy, Localization of categories, calculus of fractions, length functions, zero divisors, Means on groups, semigroups, etc.; amenable groups, Mathematics - Rings and Algebras, Group Theory (math.GR), Twisted and skew group rings, crossed products, 18E15, 18E35, 16S35, 16D10, 43A07, Gabriel dimension, stable finiteness, amenable groups, Rings and Algebras (math.RA), FOS: Mathematics, Representation Theory (math.RT), General module theory in associative algebras, Mathematics - Group Theory, Mathematics - Representation Theory
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