Browsing 2021 by Title
Now showing items 6-10 of 10
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Fundamental Theorem of Projective Geometry over Semirings
[OWP-2021-09] (Mathematisches Forschungsinstitut Oberwolfach, 2021-10-11)We state the fundamental theorem of projective geometry for semimodules over semirings, which is facilitated by recent work in the study of bases in semimodules defined over semirings. In the process we explore in detail ... -
Lifting Spectral Triples to Noncommutative Principal Bundles
[OWP-2021-02] (Mathematisches Forschungsinstitut Oberwolfach, 2021-01-11)Given a free action of a compact Lie group $G$ on a unital C*-algebra $\mathcal{A}$ and a spectral triple on the corresponding fixed point algebra $\mathcal{A}^G$, we present a systematic and in-depth construction of ... -
On the Computational Content of the Theory of Borel Equivalence Relations
[OWP-2021-06] (Mathematisches Forschungsinstitut Oberwolfach, 2021-03-17)This preprint offers computational insights into the theory of Borel equivalence relations. Specifically, we classify equivalence relations on the Cantor space up to computable reductions, i.e., reductions induced by Turing ... -
Reflection Positivity and Hankel Operators- the Multiplicity Free Case
[OWP-2021-10] (Mathematisches Forschungsinstitut Oberwolfach, 2021-12-15)We analyze reflection positive representations in terms of positive Hankel operators. This is motivated by the fact that positive Hankel operators are described in terms of their Carleson measures, whereas the compatibility ... -
Weak*-Continuity of Invariant Means on Spaces of Matrix Coefficients
[OWP-2021-08] (Mathematisches Forschungsinstitut Oberwolfach, 2021-07-13)With every locally compact group $G$, one can associate several interesting bi-invariant subspaces $X(G)$ of the weakly almost periodic functions $\mathrm{WAP}(G)$ on $G$, each of which captures parts of the representation ...