Results 71 to 80 of about 32,457 (190)
Pointwise Inner Automorphisms of Injective Factors
Journal of Functional Analysis, 1994 AbstractIt is shown that for the injective factor of type III1 with separable predual an automorphism is pointwise inner if and only if it is the composition of an inner and a modular automorphism.
E. Stormer, Uffe Haagerup
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Dualities of artinian coalgebras with applications to noetherian complete algebras [PDF]
, 2010 A duality theorem of the bounded derived category of quasi-finite comodules over an artinian coalgebra is established. Let $A$ be a noetherian complete basic semiperfect algebra over an algebraically closed field, and $C$ be its dual coalgebra. If $A$ is
B. Torrecillas +4 more
core
Diagonal automorphisms of the $2$-adic ring $C^*$-algebra
, 2017 The $2$-adic ring $C^*$-algebra $\mathcal{Q}_2$ naturally contains a copy of the Cuntz algebra $\mathcal{O}_2$ and, a fortiori, also of its diagonal subalgebra $\mathcal{D}_2$ with Cantor spectrum.
Aiello, Valeriano +2 more
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Homological Lie brackets on moduli spaces and pushforward operations in twisted K‐theory
Journal of Topology, Volume 18, Issue 2, June 2025.Abstract We develop a general theory of pushforward operations for principal G$G$‐bundles equipped with a certain type of orientation. In the case G=BU(1)$G={B\mathrm{U}(1)}$ and orientations in twisted K‐theory, we construct two pushforward operations, the projective Euler operation, whose existence was conjectured by Joyce, and the projective rank ...
Markus Upmeier
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MLD Relations of Pisot Substitution Tilings
, 2010 We consider 1-dimensional, unimodular Pisot substitution tilings with three intervals, and discuss conditions under which pairs of such tilings are locally isomorhphic (LI), or mutually locally derivable (MDL).
Arnoux P +5 more
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Local character expansions and asymptotic cones over finite fields
Proceedings of the London Mathematical Society, Volume 130, Issue 5, May 2025.Abstract We generalise Gelfand–Graev characters to R/Z$\mathbb {R}/\mathbb {Z}$‐graded Lie algebras and lift them to produce new test functions to probe the local character expansion in positive depth. We show that these test functions are well adapted to compute the leading terms of the local character expansion and relate their determination to the ...
Dan Ciubotaru, Emile Okada
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Witt vectors with coefficients and TR
Proceedings of the London Mathematical Society, Volume 130, Issue 5, May 2025.Abstract We give a new construction of p$p$‐typical Witt vectors with coefficients in terms of ghost maps and show that this construction is isomorphic to the one defined in terms of formal power series from the authors' previous paper. We show that our construction recovers Kaledin's polynomial Witt vectors in the case of vector spaces over a perfect ...
Emanuele Dotto +3 more
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Hopf actions and Nakayama automorphisms
, 2014 Let H be a Hopf algebra with antipode S, and let A be an N-Koszul Artin-Schelter regular algebra. We study connections between the Nakayama automorphism of A and S^2 of H when H coacts on A inner-faithfully.
Chan, Kenneth +2 more
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Arithmetic Satake compactifications and algebraic Drinfeld modular forms
Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.Abstract In this article, we construct the arithmetic Satake compactification of the Drinfeld moduli schemes of arbitrary rank over the ring of integers of any global function field away from the level structure, and show that the universal family extends uniquely to a generalized Drinfeld module over the compactification.
Urs Hartl, Chia‐Fu Yu
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All automorphisms of the Calkin algebra are inner [PDF]
Annals of Mathematics, 2011 We prove that it is relatively consistent with the usual axioms of mathematics that all automorphisms of the Calkin algebra are inner. Together with a 2006 Phillips--Weaver construction of an outer automorphism using the Continuum Hypothesis, this gives a complete solution to a 1977 problem of Brown-Douglas-Fillmore.
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