The Failure of Approximate Inner Conjugacy for Standard Diagonals in Regular Limit Algebras
1996 ◽
Vol 39
(4)
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pp. 420-428
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AbstractAF 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.
Keyword(s):
1993 ◽
Vol 04
(02)
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pp. 289-317
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Keyword(s):
2002 ◽
Vol 45
(2)
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pp. 349-352
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1986 ◽
Vol 29
(1)
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pp. 97-100
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Keyword(s):
2011 ◽
Vol 54
(3)
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pp. 411-421
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Keyword(s):
1997 ◽
Vol 08
(03)
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pp. 357-374
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Keyword(s):
2008 ◽
Vol 19
(01)
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pp. 47-70
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2017 ◽
Vol 69
(3)
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pp. 548-578
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