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Almost Periodic Type Group Actions on Compact Quantum Metric Spaces
A compact quantum metric space is a complete order unit space A endowed with a Lipnorm L . We give some characterizations of almost periodic type...
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On the fundamental group of compact Kähler orbifolds with nef anti-canonical bundle
We show that the orbifold fundamental group of a compact Kähler orbifold with nef anti-canonical bundle is virtually nilpotent, which generalizes...
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Topological and Homological Properties of the Orbit Space of a Simple Three-Dimensional Compact Linear Lie Group
AbstractThe question of whether an orbit space of a compact linear group is a topological manifold and a homology manifold is studied. The case of...
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Non-commutative Stone Duality
I show explicitly that Boolean inverse semigroups are in duality with Boolean groupoids, a class of étale topological groupoids; this is what we mean...
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Dirac Geometry I: Commutative Algebra
The purpose of this paper and its sequel is to develop the geometry built from the commutative algebras that naturally appear as the homology of...
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On Tate–Shafarevich groups of one-dimensional families of commutative group schemes over number fields
Given a smooth geometrically connected curve C over a field k and a smooth commutative group scheme G of finite type over the function field K of C ,...
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Banach algebras on locally compact groups
In this chapter, we shall consider the classical Banach algebras of harmonic analysis that are associated with a locally compact group G. The class...
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Archimedean Representation Theorem for modules over a commutative ring
Pólya’s Positivstellensatz and Handelman’s Positivstellensatz are known to be concrete instances of the abstract Archimedean Representation Theorem...
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On Non-commutative Spreadability
We review some results on spreadable quantum stochastic processes and present the structure of some monoids acting on the index-set of all integers...
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The non-commutative Robertson–Schrödinger uncertainty principle
We investigate properties of the covariance matrix in the framework of non-commutative quantum mechanics for an one-parameter family of...
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Counting geodesics on compact symmetric spaces
We describe the inverse image of the Riemannian exponential map at a basepoint of a compact symmetric space as the disjoint union of so called focal...
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On locally compact groups of small topological entropy
We discuss the finiteness of the topological entropy of continuous endomorphims for some classes of locally compact groups. Firstly, we focus on the...
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Commutative Toeplitz Algebras and Their Gelfand Theory: Old and New Results
We present a survey and new results on the construction and Gelfand theory of commutative Toeplitz algebras over the standard weighted Bergman and...
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A note on locally compact subsemigroups of compact groups
An elementary proof is given for the fact that every locally compact subsemigroup of a compact topological group is a closed subgroup. A sample...
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Classical Differential Topology and Non-commutative Geometry
The message of this chapter is that very innocent looking, and actually quite useful, constructions in standard differential topology can, in the...
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Commutative Toeplitz Algebras and Their Gelfand Theory: Old and New Results
We present a survey and new results on the construction and Gelfand theory of commutative Toeplitz algebras over the standard weighted Bergman and...
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Commutative Algebras of Toeplitz Operators on the Bergman Space Revisited: Spectral Theorem Approach
For three standard models of commutative algebras generated by Toeplitz operators in the weighted analytic Bergman space on the unit disk, we find...
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Approximation of Maximal Commutative Subgroups
We have already discussed some geometric approximation aspects in the plane in Chap. 14 : we have...