No Access

LIFTINGS OF COVARIANT REPRESENTATIONS OF W*-CORRESPONDENCES

SANTANU DEY

Department of Mathematics, Indian Institute of Technology Bombay, Powai, Mumbai 400076, India

https://doi.org/10.1142/S0219025710004164Cited by:0 (Source: Crossref)

Abstract

We generalize the notion of subisometric liftings of row contractions for liftings of completely contractive covariant representations of W*-correspondences. A theory of characteristic functions for such liftings of covariant representations is presented.

Keywords:

AMSC: 47A20, 47A15, 46L05, 46L10

References

M. Baillet, Y. Denizeau and J.-F. Havet, Compositio Math. 66, 199 (1988). Web of Science, Google Scholar
S. Dey and R. Gohm, Integral Eqns. Oper. Th. 58, 43 (2007), DOI: 10.1007/s00020-007-1480-6. Crossref, Web of Science, Google Scholar
S. Dey and R. Gohm, Characteristic functions of liftings, to appear in J. Oper. Th . Google Scholar
P. Muhly and B. Solel, J. Funct. Anal. 158, 389 (1998), DOI: 10.1006/jfan.1998.3294. Crossref, Web of Science, Google Scholar
P. Muhly and B. Solel, Math. Ann. 330, 353 (2004), DOI: 10.1007/s00208-004-0554-x. Crossref, Web of Science, Google Scholar
P. Muhly and B. Solel, Integral Eqns. Oper. Th. 53, 411 (2005), DOI: 10.1007/s00020-005-1373-5. Crossref, Web of Science, Google Scholar
P. Muhly and B. Solel, The Poisson kernel for Hardy algebras, preprint (2007) . Google Scholar
B. Sz-Nagy and C. Foias , Harmonic Analysis of Operators on Hilbert Space ( North-Holland , 1970 ) . Google Scholar
W. Paschke, Trans. Amer. Math. Soc. 182, 443 (1973). Web of Science, Google Scholar
G. Popescu, Trans. Amer. Math. Soc. 316, 523 (1989). Crossref, Web of Science, Google Scholar
G. Popescu, J. Oper. Th. 22, 51 (1989). Web of Science, Google Scholar
G. Popescu, Proc. Amer. Math. Soc. 135, 2151 (2007), DOI: 10.1090/S0002-9939-07-08719-9. Crossref, Web of Science, Google Scholar
V. I. Paulsen , Completely Bounded Maps and Operator Algebras ( Cambridge Univ. Press , 2003 ) . Crossref, Google Scholar
R. Gohm, Noncommutative Markov chains and multi-analytic operators, to appear in J. Math. Anal. Appl . Google Scholar
M. Skeide, Math. Proc. R. Ir. Acad. A 100, 11 (2000). Web of Science, Google Scholar
M. Skeide, Advances in Quantum Dynamics, South Hadley, MA, 2002, Contemp. Math. 335 (Amer. Math. Soc., 2003) pp. 253–262. Crossref, Google Scholar