In this stimulating book, aimed at researchers both established and budding, Peter Elliott demonstrates a method and a motivating philosophy that combine to cohere a large part of analytic number theory, including the hitherto nebulous study of arithmetic functions. Besides its …
![The oscillator duality correspondence for the pair O(2, 2), Sp(2, [bold]R)](https://covers.openlibrary.org/b/isbn/0821824643-M.jpg?default=false)
We calculate this correspondence and show that the unitary representation of O(2, 2), are mapped to unitary representations of Sp(2, [bold]R).
We develop a duality theory for small Boolean pretoposes in which the dual of the [italic capital]T is the groupoid of models of a Boolean pretopos [italic capital]T equipped with additional structure derived from ultraproducts. The duality theorem states that any small Boolean …
Through classification of compact abelian group actions on semifinite injective factors, Jones and Takesaki introduced a notion of an action of a measured groupoid on a von Neumann algebra, which was proven to be an important tool for such an analysis. In this paper, elaborating…
