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Restrictions of Unitary Representations to Lattices and AssociatedC*-Algebras

✍ Scribed by M.B. Bekka

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
812 KB
Volume
143
Category
Article
ISSN
0022-1236

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✦ Synopsis

if ? is not a discrete series representation and that ? | 1 is determined by ?. Our first result shows that even the weak equivalence class of ? | 1 is determined by ? when ? is a complementary series representation. Let C ? *(1 ) denote the C*-algebra generated by all ?(#) for # in 1. We show that C ? *(1 ) has a unique maximal two-sided ideal and a unique normalized trace.

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