About 4,050 results
|Volume 449, 2008 Thoughts about George Mackey and his Imprimitivity Theorem |
A. A. Kirillov To the memory of G. W. Mackey Abstract. In this paper I tell the story
of my acquaintance with George Mackey as mathematician and as a man. Next ...
|Mackey's Imprimitivity Theorem In our discussion thus far we have mainly |
considered Borel actions with no quasi-invariant measure. To consider group
actions with quasi-invariant measure, we need a different notion of equivalence.
Two G ...
|COMMUTATIVE SYSTEMS OF COVARIANCE AND A GENERALIZATION OF |
MACKEY'S IMPRIMITIVITY THEOREM BY S. TWAREQUE ALI ABSTRACT. Two
results are obtained in this paper. The first is a generalization of the imprimitivity ...
|Originally, imprimitivity theorems, such as Mackey's Imprimitivity Theorem, were |
meant to tell us which representations of a locally compact group G are induced
from a closed subgroup H. Rieffel's theory of Morita equivalence allows us to ...
|Theorem 17]), so we shall call it Green's imprimitivity theorem for induced |
algebras. ... we call Green's imprimitivity theorem for induced representations,
since it was used by Green to develop a very strong version of Mackey's
|H. If E is a PVM then the set is a system of imprimitivity.45 Systems of imprimitivity |
have important properties, in part summarized by Mackey's imprimitivity theorem.
My discussion here will follow that of Mackey , emphasizing the structure ...
|Mackey's imprimitivity theorem states that if there exists a transitive system of |
imprimitivity E for a given representation of ... H unique to within unitary
equivalence, such that E is unitarily equivalent to the canonical system of
imprimitivity for UL.
|In view of these discoveries we decided to orient the present work toward the |
Imprimitivity Theorem and the normal subgroup analysis in the non-separable
context, using the results of Loomis, Blattner, and Glimm rather than Mackey's
|of imprimitivity, and, as asserted in Theorem 4.2.2, this system of imprimitivity |
actually determines the representation. Before coming to ... The precise sense in
which this is to be understood is brought out by the next theorem, due to Mackey
|The Stone-von Neumann Theorem answers these questions affirmatively in the |
case of a single free particle, in the sense that all ... Mackey's Imprimitivity
Theorem, the foundation of this work, can be stated in way that immediately