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Showing 1 to 10 of 10 for “"Locally compact groups"”.
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Topologies on Locally Compact Groups
Made available in DSpace on 2014-12-11T18:23:40Z (GMT). No. of bitstreams: 1 7114873.pdf: 1564079 bytes, checksum: 7b3e35e2b71571254cbe1505688b2be9 (MD5) Previous issue date: 1970
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Invariants and zeta functions associated to totally disconnected locally compact groups
… invariants and asymptotic properties relative to groups plays a prominent role in several classification problems. This thesis focuses on some cohomological and geometric invariants (e.g., number of ends, cohomological dimension and Euler-Poincaré characteristic) and certain growth series …
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The Rate of Decay of Concentration Functions on Locally Compact Groups
Given an adapted probability measure on a locally compact group, there are a variety of support conditions which cause the concentration functions to go to zero. This work discusses the rate of this decay under many such conditions. This work focuses primarily on concentration functions for …
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Discrete approximate subgroups of Lie groups
… lattice is a discrete approximate subgroup of a locally compact group - i.e. a subset that is closed under multiplication up to an error controlled by a finite set - that has finite co-volume. We study, successively, generalisations of Meyer's theorem in soluble Lie groups, in amenable locally …
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Locally compact property A groups
… all closed manifolds with discrete fundamental groups that are coarsely embeddable into a Hilbert space. The class of groups that are uniformly embeddable into Hilbert Spaces includes groups of Property A which were introduced by Yu. In fact, Property A is generally a property of metric spaces …
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A measure for the number of commuting subgroups in compact groups
… which counts the pairs of closed commuting subgroups in infinite groups. This measure turns out to be an extension of what was known in the finite case as subgroup commutativity degree and opens a new approach of study for the class of near abelian groups, recently introduced in [24, 27]. The …
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On p-operator spaces and their applications
… lot of research done on the relationship between locally compact groups and algebras associated with them. For example, Johnson proved that a locally compact group G is amenable if and only if the convolution algebra L1(G) is amenable as a Banach algebra, and Ruan showed that G is amenable if and …
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Some arithmetic Ramsey problems and inverse theorems
… arithmetic Ramsey type problems over abelian groups. This part consists of three chapters. In Chapter 2, using hypergraph containers, we study the rainbow Erdos-Rothschild problem for sum-free sets. This is joint work with Cheng, Li, Wang, and Zhou. In Chapters 3 and 4, we study the avoidance …
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Generalisations of the theorem of Peter and Weyl
… concepts in the representation theory of compact groups, we study the historical background of the Fourier Theorem and how this result was used to solve the heat equation. Then we sketch the main steps of the proof of the Fourier Theorem, explaining how it can be interpreted as a special …