PONTRYAGIN DUALITY FOR A CLASS OF LOCALLY COMPACT QUANTUM GROUPS

Authors
HOLLEVOET J
Citation
J. Hollevoet, PONTRYAGIN DUALITY FOR A CLASS OF LOCALLY COMPACT QUANTUM GROUPS, Mathematische Nachrichten, 176, 1995, pp. 93-110
Citations number
19
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Mathematische Nachrichten → ACNP
ISSN journal
0025584X
Volume
176
Year of publication
1995
Pages
93 - 110
Database
ISI
SICI code
0025-584X(1995)176:<93:PDFACO>2.0.ZU;2-Y
Abstract
A class of locally compact quantum semigroups in the sense of WORONOWI CZ, containing the quantized Heisenberg group, is studied. The underly ing quantum space is described in terms of a crossed product. We show the existence of a universal corepresentation and a Pontryagin dual, w hich turns out to be a twisted crossed product. The Pontryagin duality for these quantum semigroups is investigated.