Remark on Poincar\'e duality for $SU_q(2)$
Year: 2002
Type: preprint
Abstract: Let A be the C ∗-algebra associated with SUq(2), J be the modular conjugation coming from the Haar state and let D be the generic equivariant Dirac operator for SUq(2). We prove in this article that there is no element in JAJ, other than the scalars, that have bounded commutator with D. This shows in particular that JAJ does not contain any Poincaré dual for SUq(2).
Source: arXiv (Cornell University)
Authors: Partha Sarathi Chakraborty, Arupkumar Pal
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W143080109