Sets of p-multiplicity in locally compact groups

I. G. Todorov, and L. Turowska. "Sets of p-multiplicity in locally compact groups." Studia Mathematica 226.1 (2015): 75-93. <http://eudml.org/doc/285439>.

@article{I2015,
abstract = {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 $E* = \{(s,t) : ts^\{-1\} ∈ E\}$ 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.},
author = {I. G. Todorov, L. Turowska},
journal = {Studia Mathematica},
keywords = {set of -multiplicity; -algebra; Stone-von Neumann theorem},
language = {eng},
number = {1},
pages = {75-93},
title = {Sets of p-multiplicity in locally compact groups},
url = {http://eudml.org/doc/285439},
volume = {226},
year = {2015},
}

TY - JOUR
AU - I. G. Todorov
AU - L. Turowska
TI - Sets of p-multiplicity in locally compact groups
JO - Studia Mathematica
PY - 2015
VL - 226
IS - 1
SP - 75
EP - 93
AB - 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 $E* = {(s,t) : ts^{-1} ∈ E}$ 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.
LA - eng
KW - set of -multiplicity; -algebra; Stone-von Neumann theorem
UR - http://eudml.org/doc/285439
ER -