On Pimsner–Popa bases

Keshab Chandra Bakshi1
1The Institute of Mathematical Sciences, Taramani, Chennai, 600 113, India

Tóm tắt

Từ khóa


Tài liệu tham khảo

Evans D E and Kawahigashi Y, Quantum symmetries on operator algebras, Oxford Mathematical Monographs (New York: The Clarendon Press, Oxford University Press) (1998) Oxford Science Publications

Goodman F M, de La Harpe P and Jones V F R, Coxeter graphs and towers of algebras (1989) (New York: Springer-Verlag) vol. 14

Gantmacher F R, The theory of matrices, vol. 2, Chelsea, New York, 1959, Mathematical Reviews (MathSciNet): MR99f, 15001 (1979)

Jolissaint P, Index for pairs of finite von Neumann algebras, Pac. J. Math. 146 (1) (1990) 43–70

Jones V F R, Index for subfactors, Inventiones Mathematicae 72 (1) (1983) 1–25

Jones V F R and Penneys D, The embedding theorem for finite depth subfactor planar algebras, Quantum Topol. 2 (3) (2011) 301–337

Jones V F R and Sunder V S, Introduction to subfactors (1997) (Cambridge University Press) vol. 234

Kawahigashi Y, Automorphisms commuting with a conditional expectation onto a subfactor with finite index, J. Operator Theory 28 (1) (1992) 127–145

Kosaki H, Extension of Jones’ theory on index to arbitrary factors, J. Funct. Anal. 66 (1986) 123–140

Loi P H, On automorphisms of subfactors, J. Funct. Anal. 141 (2) (1996) 275–293

Pimsner M and Popa S, Entropy and index for subfactors, Annales scientifiques de l’Ecole normale supérieure 19 (1986) 57–106

Pimsner M and Popa S, Iterating the basic construction, Trans. Amer. Math. Soc. 310 (1) (1988) 127–133

Richard D Burstein, Group-type subfactors and Hadamard matrices, Trans. Amer. Math. Soc. 367 (10) (2015) 6783–6807, see also arXiv preprint arXiv: 0811.1265 (2008)

Svendsen A L, Automorphisms of subfactors from commuting squares, Trans. Amer. Math. Soc. 356 (6) (2004) 2515–2543

Watatani Y, Index for C ∗-subalgebras, Mem. Amer. Math. Soc. 424 (1990) vi+117 pp.