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LOCALLY COMPACT,LOCALLY COUNTABLE SPACES AND RANDOM REALS
LOCALLY COMPACT LOCALLY COUNTABLE SPACES RANDOM REALS
2015/8/17
In this note I will present a proof that, assuming PFA, if R is a measure algebra then after forcing with R every uncountable locally compact locally countable cometrizable space contains an uncountab...
Good measures on locally compact Cantor sets
Good measures locally compact Cantor sets Dynamical Systems
2012/4/17
We study the set M(X) of full non-atomic Borel (finite or infinite) measures on a non-compact locally compact Cantor set X. For an infinite measure $\mu$ in M(X), the set $\mathfrak{M}_\mu = \{x \in X...
A general Kirillov Theory for locally compact nilpotent groups
Kirillov Theory compact nilpotent groups Operator Algebras
2011/9/22
Abstract: We discuss a very general Kirillov Theory for the representations of certain nilpotent groups which gives a combined view an many known examples from the literature.
Completely bounded representations of convolution algebras of locally compact quantum groups
Locally compact quantum group Fourier algebra completely bounded homomorphism corepresentation amenability
2011/9/1
Abstract: Given a locally compact quantum group $\G$, we study the question of when completely bounded homomorphisms $\pi:L^1(\mathbb G)\rightarrow\mathcal B(H)$ are similar to *-homomorphisms. By ana...
Index theory for locally compact noncommutative geometries
Index theory compact noncommutative geometries Operator Algebras K-Theory and Homology
2011/8/25
Abstract: Spectral triples for nonunital algebras model locally compact spaces in noncommutative geometry. In the present text, we prove the local index formula for spectral triples over nonunital alg...
Kernels of Linear Representations of Lie Groups, Locally Compact Groups, and Pro-Lie Groups
Kernels of Linear Representations of Lie Groups Locally Compact Groups Pro-Lie Groups
2011/1/17
For a topological group G the intersection KOR(G) of all kernels of ordinary representations
is studied. We show that KOR(G) is contained in the center of G if G is a connected pro-Lie group.
In 1962, H. de Vries proved a duality theorem for the category {\bf HC} of compact Hausdorff spaces and continuous maps. The composition of the morphisms of the dual category obtained by him differs ...
IRREDUCIBLE REPRESENTATIONS AND SQUARE INTEGRABLE REPRESENTATIONS OF LOCALLY COMPACT GROUPOIDS
topological groupoid irreducible representation square integrable representation
2007/12/11
A notion of an irreducible representation, as well as of a square integrable representation on an arbitrary locally compact groupoid, is introduced. A generalization of a version of Schur's lemma on a...