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A Natural Extension of a Left Invariant Lower Semi–Continuous Weight
Author(s) -
Kustermans Johan
Publication year - 2000
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/1522-2616(200009)217:1<125::aid-mana125>3.0.co;2-6
Subject(s) - mathematics , invariant (physics) , algebraic number , uniqueness , pure mathematics , algebraic extension , invariant theory , extension (predicate logic) , property (philosophy) , discrete mathematics , algebra over a field , mathematical analysis , differential equation , mathematical physics , differential algebraic equation , ordinary differential equation , philosophy , epistemology , computer science , programming language
In this paper, we describe a natural method to extend left invariant weights on C*–algebraic quantum groups. This method is then used to improve the invariance property of a left invariant weight. We also prove some kind of uniqueness result for left Haar weights on C*–algebraic quantum groups arising from algebraic ones.