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...