Topological convolution algebras [PDF]
Journal of Functional Analysis, 2013 In this paper we introduce a new family of topological convolution algebras of the form $\bigcup_{p\in\mathbb N} L_2(S,\mu_p)$, where $S$ is a Borel semi-group in a locally compact group $G$, which carries an inequality of the type $\|f*g\|_p\le A_{p,q}\|
Alpay, Daniel, Salomon, Guy
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The analytic-functional calculus in commutative topological algebras [PDF]
Pacific Journal of Mathematics, 1961 openaire +5 more sources
Character groups of Hopf algebras as infinite-dimensional Lie groups [PDF]
, 2015 In this article character groups of Hopf algebras are studied from the perspective of infinite-dimensional Lie theory. For a graded and connected Hopf algebra we construct an infinite-dimensional Lie group structure on the character group with values in ...
Bogfjellmo, Geir +2 more
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A K-Theoretic Proof of Boutet de Monvel's Index Theorem for Boundary Value Problems [PDF]
, 2005 We study the C*-closure A of the algebra of all operators of order and class zero in Boutet de Monvel's calculus on a compact connected manifold X with non-empty boundary.
Atiyah M. F. +5 more
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Non-Commutative Chern Numbers for Generic Aperiodic Discrete Systems [PDF]
, 2018 The search for strong topological phases in generic aperiodic materials and meta-materials is now vigorously pursued by the condensed matter physics community. In this work, we first introduce the concept of patterned resonators as a unifying theoretical
Bourne, Chris, Prodan, Emil
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New holomorphically closed subalgebras of $C^*$-algebras of hyperbolic groups [PDF]
, 2009 We construct dense, unconditional subalgebras of the reduced group $C^*$-algebra of a word-hyperbolic group, which are closed under holomorphic functional calculus and possess many bounded traces.
A. Connes +18 more
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Quantum transport in disordered systems under magnetic fields: A study based on operator algebras
, 2012 The linear conductivity tensor for generic homogeneous, microscopic quantum models was formulated as a noncommutative Kubo formula in Refs. \cite{BELLISSARD:1994xj,Schulz-Baldes:1998vm,Schulz-Baldes:1998oq}.
Prodan, Emil
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The $K$-groups and the index theory of certain comparison $C^*$-algebras [PDF]
, 2010 We compute the $K$-theory of comparison $C^*$-algebra associated to a manifold with corners. These comparison algebras are an example of the abstract pseudodifferential algebras introduced by Connes and Moscovici \cite{M3}. Our calculation is obtained by
Monthubert, Bertrand, Nistor, Victor
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Cyclic cohomology for graded $C^{*,r}$-algebras and its pairings with van Daele $K$-theory
, 2019 We consider cycles for graded $C^{*,r}$-algebras (Real $C^{*}$-algebras) which are compatible with the $*$-structure and the real structure. Their characters are cyclic cocycles. We define a Connes type pairing between such characters and elements of the
Kellendonk, Johannes
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The magnetic formalism; new results
, 2009 We review recent results on the magnetic pseudo-differential calculus both in symbolic and in $C^*$-algebraic form. We also indicate some applications to spectral analysis of pseudo-differential operators with variable magnetic ...
Iftimie, Viorel +2 more
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