1Pure Mathematics Research Centre Queen's University Belfast Belfast BT7 1NN, United Kingdom 2Department of Mathematical Sciences Chalmers University of Technology and the University of Gothenburg Gothenburg SE-412 96, Sweden
Studia Mathematica, Tome 226 (2015) no. 1, pp. 75-93
We initiate the study of sets of $p$-multiplicity in locally compact groups and their operator versions. We show that a closed subset $E$ of a second countable locally compact group $G$ is a set of $p$-multiplicity if and only if $E^* = \{(s,t) : ts^{-1}\in E\}$ is a set of operator $p$-multiplicity. We exhibit examples of sets of $p$-multiplicity, establish preservation properties for unions and direct products, and prove a $p$-version of the Stone–von Neumann Theorem.
Keywords:
initiate study sets p multiplicity locally compact groups their operator versions closed subset second countable locally compact group set p multiplicity only * set operator p multiplicity exhibit examples sets p multiplicity establish preservation properties unions direct products prove p version stone von neumann theorem
Affiliations des auteurs :
I. G. Todorov
1
;
L. Turowska
2
1
Pure Mathematics Research Centre Queen's University Belfast Belfast BT7 1NN, United Kingdom
2
Department of Mathematical Sciences Chalmers University of Technology and the University of Gothenburg Gothenburg SE-412 96, Sweden
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I. G. Todorov; L. Turowska. Sets of $p$-multiplicity in locally compact groups. Studia Mathematica, Tome 226 (2015) no. 1, pp. 75-93. doi: 10.4064/sm226-1-4
