Fixed point properties and second bounded cohomology of universal lattices on Banach spaces
نویسندگان
چکیده
منابع مشابه
Fixed Point Properties and Second Bounded Cohomology of Universal Lattices on Banach Spaces
Let A be a unital, commutative and finitely generated ring. We prove that if n ≥ 4, then the group G = ELn(A) has a fixed point property for affine isometric actions on B. Here B stands for any L space or any Banach space isomorphic to a Hilbert space. We also verify that the comparison map Ψ : H b (G,B) → H(G,B) from bounded to ordinary cohomology is injective, where G and B are as in above. F...
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In this paper, we prove that for a unital commutative and finitely generated ring A, the group G = ELn(A) has a fixed point property for affine isometric actions on B if n ≥ 4. Here B stands for any L space or any Banach space isomorphic to a Hilbert space. We also verify that the comparison map Ψ : H b (G,B) → H (G,B) from bounded to usual cohomology is injective, where G and B are same as in ...
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Let A be a unital, commutative and finitely generated ring. We prove that if n ≥ 4, then the group G = ELn(A) has a fixed point property for affine isometric actions on B. Here B stands for any L space or any Banach space isomorphic to a Hilbert space. We also verify that the comparison map Ψ : H b (G,B) → H(G,B) from bounded to ordinary cohomology is injective, where G and B are as in above. F...
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15 صفحه اولApproximation properties and universal Banach spaces
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ژورنال
عنوان ژورنال: Journal für die reine und angewandte Mathematik (Crelles Journal)
سال: 2011
ISSN: 0075-4102,1435-5345
DOI: 10.1515/crelle.2011.021