Voir la notice de l'article provenant de la source Cambridge University Press
DYKEMA, KEN; MUKHERJEE, KUNAL. MEASURE-MULTIPLICITY OF THE LAPLACIAN MASA. Glasgow mathematical journal, Tome 55 (2013) no. 2, pp. 285-292. doi: 10.1017/S001708951200050X
@article{10_1017_S001708951200050X,
author = {DYKEMA, KEN and MUKHERJEE, KUNAL},
title = {MEASURE-MULTIPLICITY {OF} {THE} {LAPLACIAN} {MASA}},
journal = {Glasgow mathematical journal},
pages = {285--292},
year = {2013},
volume = {55},
number = {2},
doi = {10.1017/S001708951200050X},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S001708951200050X/}
}
TY - JOUR AU - DYKEMA, KEN AU - MUKHERJEE, KUNAL TI - MEASURE-MULTIPLICITY OF THE LAPLACIAN MASA JO - Glasgow mathematical journal PY - 2013 SP - 285 EP - 292 VL - 55 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.1017/S001708951200050X/ DO - 10.1017/S001708951200050X ID - 10_1017_S001708951200050X ER -
[1] 1., and , Mixing and weak mixing abelian subalgebras of type II factors (2011), preprint. Google Scholar
[2] 2., , and , The radial masa in a free group factor is maximal injective, J. Lond. Math. Soc. 82 (2) (2010), 787–809. Google Scholar | DOI
[3] 3., Operator norms on free groups, Boll. Un. Mat. Ital. B 1 (6) (1982), 1055–1065. Google Scholar
[4] 4., Sous–anneaux abeliens maximaux dans les facteurs de type fini, Ann. Math. 59 (2) (1954), 279–286. Google Scholar
[5] 5., and , Values of the Pukanszky invariant in free group factors and the hyperfinite factor, J. Funct. Anal. 240 (2006), 373–398. Google Scholar
[6] 6. and , Strongly singular masas and mixing actions in finite von Neumann algebras, Ergodic Theory Dyn. Syst. 28 (2008), 1861–1878. Google Scholar
[7] 7., Symmetric random walks on groups, Trans. Amer. Math. Soc. 92 (1959), 336–354. Google Scholar | DOI
[8] 8., Masas and bimodule decompositions of II-factors, Q. J. Math. 62 (2011), 451–486. Google Scholar | DOI
[9] 9., Singular masas and measure-multiplicity invariant, Houston J. Math. (to appear 2013; arxiv:1104.3507). Google Scholar
[10] 10. and , Ergodic theory and maximal abelian subalgebras of the hyperfinite factor, J. Funct. Anal. 195 (2002), 239–261. Google Scholar
[11] 11., Orthogonal pairs of *-subalgebras in finite von Neumann algebras, J. Operator Theory 9 (1983), 253–268. Google Scholar
[12] 12., Maximal injective subalgebras in factors associated with free groups, Adv. Math. 50 (1983), 27–48. Google Scholar
[13] 13., On maximal abelian subrings of factors of type II , Canad. J. Math. 12 (1960), 289–296. Google Scholar | DOI
[14] 14., Radial functions on free groups and a decomposition of the regular representation into irreducible components, J. Reine Angew. Math. 326 (1981), 124–135. Google Scholar
[15] 15., Singularity of the radial subalgebra of (F) and the Pukánszky invariant, Pacific J. Math. 151 (1991), 297–306. Google Scholar
[16] 16. and , The Laplacian masa in a free group factor, Trans. Amer. Math. Soc. 355 (2003), 465–475 (electronic). Google Scholar | DOI
[17] 17. and , The Pukánszky invariant for masas in group von Neumann factors, Illinois J. Math. 49 (2005), 325–343 (electronic). Google Scholar | DOI
[18] 18. and , Finite von Neumann algebras and masas, London Mathematical Society Lecture Note Series, vol. 351 (Cambridge University Press, Cambridge, UK, 2008). Google Scholar
[19] 19., The analogues of entropy and Fisher's information measure in free probability theory III: The absence of Cartan subalgebras, Geom. Funct. Anal. 6 (1996), 172–199. Google Scholar
Cité par Sources :