Noncommutative Mathematics for Quantum Systems

(Dana P.) #1
References 175

[Ra] I. Raeburn, “GraphC∗-algebras", CBMS Regional Conference Series in
Mathematics, 103, Providence, RI, 2005.


[Sa] S. Sakai, “C∗-algebras andW∗-algebras,” reprint of the 1971 edition,
Classics in Mathematics. Springer–Verlag, Berlin, 1998.


[Sk 1 ] A. Skalski, On automorphisms ofC∗-algebras whose Voiculescu entropy
is genuinely noncommutative, Ergodic Th. Dynam. Systems, 31
(2011), 951–954.


[Sk 2 ] A. Skalski, Noncommutative topological entropy of endomorphisms of
Cuntz algebras II,Publ. Res. Inst. Math. Sci. 47 (2011), no. 4, 887–
896.


[SZ 1 ] A. Skalski and J. Zacharias, Entropy of shifts in higher rank graph C∗-
algebras,Houston Journal of Mathematics 34 (2008), no.1, 269–282.


[SZ 2 ] A. Skalski and J. Zacharias, Noncommutative topological entropy of
endomorphisms of Cuntz algebras,Lett. Math. Phys. 86 (2008), no.
2–3, 115–134.


[SZ 3 ] A. Skalski and J. Zacharias, Approximation properties and entropy
estimates for crossed products by actions of amenable discrete quantum
groups,J. Lond. Math. Soc. 82 (2010), no. 1, 184–202.


[StZ] S. Stratila and L. Zsido, “Lectures on von Neumann algebras,” Abacus
Press, Tunbridge Wells, 1979.


[Ta 1 ] M. Takesaki, “Theory of operator algebras. I”, Springer-Verlag, New
York–Heidelberg, 1979.


[Ta 2 ] M. Takesaki, “Theory of operator algebras. II”. Encyclopaedia of
Mathematical Sciences, 125. Springer-Verlag, Berlin, 2003


[Vo] D. Voiculescu, Dynamical approximation entropies and topological
entropy in operator algebras,Comm. Math. Phys. 170 (1995), no. 2,
249–281.


[Wa] P. Walters, “An introduction to ergodic theory,” Graduate Texts in
Mathematics, 79.Springer–Verlag, New York–Berlin,1982.


[Wo] S.L. Woronowicz, Compact quantum groups, in Sym ́etries
Quantiques, Les Houches, Session LXIV, 1995, pp. 845–884.

Free download pdf