 

S. Kaliszewski,
Magnus B. Landstad,
and John Quigg
Ordered invariant ideals of FourierStieltjes algebras
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Published: 
October 31, 2018. 
Keywords: 
locally compact group, coaction, FourierStieltjes algebra, positive definite function. 
Subject: 
Primary 46L55; Secondary 46L25, 22D25. 


Abstract
For a locally compact group G, every Ginvariant subspace E of the
FourierStieltjes algebra B(G) gives rise to the following two ideals
of the group C*algebra C*(G): the intersection of the kernels of the representations with many coefficient functions in E, and the preannihilator
of E. We investigate the question of whether these two ideals coincide.
This leads us to define and study two properties of E  ordered
and weakly ordered  that measure how many positive definite
functions E contains. 

Acknowledgements


Author information
S. Kaliszewski:
School of Mathematical and Statistical Sciences
Arizona State University
Tempe, Arizona 85287, USA
kaliszewski@asu.edu
Magnus B. Landstad:
Department of Mathematical Sciences
Norwegian University of Science and Technology
NO7491 Trondheim, Norway
magnus.landstad@ntnu.no
John Quigg:
School of Mathematical and Statistical Sciences
Arizona State University
Tempe, Arizona 85287, USA
quigg@asu.edu

