Neshveyev, S. V. Entropy of Bogoliubov automorphisms of CAR and CCR algebras with respect to quasi-free states. (English) Zbl 1081.46514 Rev. Math. Phys. 13, No. 1, 29-50 (2001). Summary: We compute the dynamical entropy of Bogoliubov automorphisms of CAR and CCR algebras with respect to arbitrary gauge-invariant quasi-free states. This completes the research started by E. Størmer and D. Voiculescu [Commun. Math. Phys. 133, No. 3, 521–542 (1990; Zbl 0743.46051)] and continued by H. Narnhofer and W. Thirring [In: G. G.Emch et al. (eds.), “On Klauder’s path: a field trip. Essays in honor of John R. Klauder” (World Scientific, Singapore), 127–145 (1994; Zbl 0942.46505) and Y. M.Park and H. H.Shin [Commun. Math. Phys. 152, No. 3, 497–537 (1993; Zbl 0786.46049)]. Cited in 1 ReviewCited in 2 Documents MSC: 46L55 Noncommutative dynamical systems 46L35 Classifications of \(C^*\)-algebras 81S05 Commutation relations and statistics as related to quantum mechanics (general) 82C10 Quantum dynamics and nonequilibrium statistical mechanics (general) Keywords:complex Hilbert space; canonical anticommutation relations; pure point spectrum; CNT entropy; Bogolyubov automorphisms; CAR algebras; CCR algebras; quasifree states; canonical commutation relations Citations:Zbl 0743.46051; Zbl 0942.46505; Zbl 0786.46049 PDFBibTeX XMLCite \textit{S. V. Neshveyev}, Rev. Math. Phys. 13, No. 1, 29--50 (2001; Zbl 1081.46514) Full Text: DOI arXiv References: [1] DOI: 10.1017/S0143385797085027 · Zbl 0886.58055 · doi:10.1017/S0143385797085027 [2] DOI: 10.1016/0022-1236(77)90052-0 · Zbl 0341.46049 · doi:10.1016/0022-1236(77)90052-0 [3] DOI: 10.1007/BF01225381 · Zbl 0637.46073 · doi:10.1007/BF01225381 [4] DOI: 10.1007/s002200050386 · Zbl 0932.46058 · doi:10.1007/s002200050386 [5] DOI: 10.1007/BF01228341 · Zbl 0826.46060 · doi:10.1007/BF01228341 [6] DOI: 10.1007/BF02096617 · Zbl 0786.46049 · doi:10.1007/BF02096617 [7] DOI: 10.1007/BF02097008 · Zbl 0743.46051 · doi:10.1007/BF02097008 [8] DOI: 10.1007/BF02108329 · Zbl 0824.46079 · doi:10.1007/BF02108329 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.