AN OPERATOR-THEORETIC APPROACH TO INVARIANT INTEGRALS ON QUANTUM HOMOGENEOUS SLn+1(ℝ)-SPACES

Autor:	Elmar Wagner, Osvaldo Osuna Castro
Rok vydání:	2012
Předmět:	Algebra symbols.namesake Decoherence-free subspaces Physics and Astronomy (miscellaneous) Operator algebra Partial trace Nuclear operator Quantum state Hilbert space symbols Quantum operation CCR and CAR algebras Mathematics
Zdroj:	International Journal of Geometric Methods in Modern Physics. :1250012
ISSN:	1793-6977 0219-8878
DOI:	10.1142/s0219887812500120
Popis:	We present other examples illustrating the operator-theoretic approach to invariant integrals on quantum homogeneous spaces developed by Kürsten and the second author. The quantum spaces are chosen such that their coordinate algebras do not admit bounded Hilbert space representations and their self-adjoint generators have continuous spectrum. Operator algebras of trace class operators are associated to the coordinate algebras which allow interpretations as rapidly decreasing functions and as finite functions. The invariant integral is defined as a trace functional which generalizes the well-known quantum trace. We argue that previous algebraic methods would fail for these examples.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::7d37afce834844f833ef2e84b3ec4f73 https://doi.org/10.1142/s0219887812500120 Zobrazit plný text záznamu