美国数学学会期刊
期刊
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作者:Mateusz Wasilewski
来源:[J].Proceedings of the American Mathematical Society(IF 0.609), 2017, Vol.145 (12), pp.5287-5298AMS
摘要:We extend the class of contractions for which the second quantisation on $ q$-Araki-Woods algebras can be defined. As a corollary, we prove that all $ q$-Araki-Woods algebras possess the Haagerup approximation property.
作者:Stephen Scully
来源:[J].Proceedings of the American Mathematical Society(IF 0.609), 2017, Vol.146 (1), pp.1-13AMS
摘要:Let $ R$ be a commutative and unital semi-local ring in which 2 is invertible. In this note, we show that anisotropic quadratic spaces over $ R$ remain anisotropic after base change to any odd-degree finite étale extension of $ R$. This generalization of the classical Artin-...
作者:Jonathan M. Fraser , Tom Kempton
来源:[J].Proceedings of the American Mathematical Society(IF 0.609), 2017, Vol.146 (1), pp.161-173AMS
摘要:We study the $ L^q$-dimensions of self-affine measures and the Käenmäki measure on a class of self-affine sets similar to the class considered by Hueter and Lalley. We give simple, checkable conditions under which the $ L^q$-dimensions are equal to the value predicted by Fal...
作者:Wolfhard Hansen , Ivan Netuka
来源:[J].Proceedings of the American Mathematical Society(IF 0.609), 2017, Vol.146 (1), pp.153-160AMS
摘要:Let $ \varphi $ be a locally upper bounded Borel measurable function on a Greenian open set $ \Omega $ in $ \mathbb{R}^d$ and, for every $ x\in \Omega $, let $ v_\varphi (x)$ denote the infimum of the integrals of $ \varphi $ with respect to Jensen measures for $ x$ on $ \Omega $...
作者:Cornelia Druţu , Shahar Mozes , Mark Sapir
来源:[J].Transactions of the American Mathematical Society(IF 1.019), 2017, Vol.370 (1), pp.749-754AMS
摘要:The authors correct an error in Proposition 3.24 of their work Divergence in lattices in semisimple Lie groups and graphs of groups , Trans. Amer. Math. Soc. 362 (2010), no. 5, 2451-2505.
作者:Henry Segerman
来源:[J].Proceedings of the American Mathematical Society(IF 0.609), 2017, Vol.145 (12), pp.5391-5404AMS
摘要:Matveev and Piergallini independently showed that, with a small number of known exceptions, any triangulation of a three-manifold can be transformed into any other triangulation of the same three-manifold with the same number of vertices via a sequence of 2-3 and 3-2 moves. We ca...
作者:Shunsuke Tsuchioka , Masaki Watanabe
来源:[J].Proceedings of the American Mathematical Society(IF 0.609), 2017, Vol.146 (1), pp.15-28AMS
摘要:We prove that the multiplicities of certain maximal weights of $ \mathfrak{g}(A^{(1)}_{n})$-modules are counted by pattern avoidance on words. This proves and generalizes a conjecture of Jayne-Misra. We also prove similar phenomena in types $ A^{(2)}_{2n}$ and $ D^{(2)}_{n+1}$. B...
作者:JungHwan Park , Arunima Ray
来源:[J].Proceedings of the American Mathematical Society(IF 0.609), 2017, Vol.146 (1), pp.439-448AMS
摘要:We construct an infinite family of topologically slice 2-component boundary links $ \ell _i$, none of which is smoothly concordant to a split link, such that $ g_4(\ell _i)=i$.
作者:Kay Rülling , Shuji Saito
来源:[J].Transactions of the American Mathematical Society(IF 1.019), 2017, Vol.370 (2), pp.987-1043AMS
摘要:Let $ X$ be a smooth variety over a field $ k$ and $ D$ an effective divisor whose support has simple normal crossings. We construct an explicit cycle map from the Nisnevich motivic complex $ \mathbb{Z}(r)_{X\vert D,\mathrm {Nis}}$ of the pair $ (X,D)$ to a shift of the relative ...
作者:István Juhász , Jan van Mill
来源:[J].Proceedings of the American Mathematical Society(IF 0.609), 2017, Vol.146 (1), pp.429-437AMS
摘要:Extending a result of R. de la Vega, we prove that an infinite homogeneous compactum has cardinality $ \mathfrak{c}$ if it is the union of either countably many dense or finitely many arbitrary countably tight subspaces. The question if every infinite homogeneous and $ \sigma $-c...

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