Geodesic
The Failure of Approximate Inner Conjugacy for Standard Diagonals in Regular Limit Algebras
Canadian mathematical bulletin, Tome 39 (1996) no. 4, pp. 420-428

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DOI

AF C*-algebras contain natural AF masas which, here, we call standard diagonals. Standard diagonals are unique, in the sense that two standard diagonals in an AF C*-algebra are conjugate by an approximately inner automorphism. We show that this uniqueness fails for non-selfadjoint AF operator algebras. Precisely, we construct two standard diagonals in a particular non-selfadjoint AF operator algebra which are not conjugate by an approximately inner automorphism of the non-selfadjoint algebra.
DOI : 10.4153/CMB-1996-050-5
Mots-clés : 47D25, 46K50 
Donsig, Allan P.; Power, S. C. The Failure of Approximate Inner Conjugacy for Standard Diagonals in Regular Limit Algebras. Canadian mathematical bulletin, Tome 39 (1996) no. 4, pp. 420-428. doi: 10.4153/CMB-1996-050-5
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     author = {Donsig, Allan P. and Power, S. C.},
     title = {The {Failure} of {Approximate} {Inner} {Conjugacy} for {Standard} {Diagonals} in {Regular} {Limit} {Algebras}},
     journal = {Canadian mathematical bulletin},
     pages = {420--428},
     year = {1996},
     volume = {39},
     number = {4},
     doi = {10.4153/CMB-1996-050-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1996-050-5/}
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