Approximating maps and exact C*-algebras
1982 ◽
Vol 91
(2)
◽
pp. 285-289
◽
Keyword(s):
Let A and E be C*-algebras, let A ⊗ B denote the minimal C*-tensor product, and let ε A *. The right slice map R: A ⊗ B → B is the unique bounded linear mapping with the property that R (a ⊗ b) = (a)b (a ε A, b ε B)(10). A triple (A, B, D), where D is a C*-subalgebra of B, is said to have the slice map property if whenever x ε A ⊗ B and R(x) D for all ε A* then x ε A ⊗ D). It is known that (A, B, D) has the slice map property whenever A is nuclear (11,13), but it appears to be still unknown whether the nuclearity of B will suffice (unless some extra condition is placed on D (l)).
2000 ◽
Vol 03
(04)
◽
pp. 519-575
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Keyword(s):
1986 ◽
Vol 29
(1)
◽
pp. 97-100
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Keyword(s):
2001 ◽
Vol 44
(2)
◽
pp. 241-248
◽
Keyword(s):
2019 ◽
Vol 19
(01)
◽
pp. 2050011
◽
Keyword(s):
2003 ◽
Vol 68
(1)
◽
pp. 169-173
◽
Keyword(s):
2001 ◽
Vol 44
(2)
◽
pp. 317-322
◽
2010 ◽
Vol 54
(1)
◽
pp. 99-111
◽
Keyword(s):
2014 ◽
Vol 57
(3)
◽
pp. 709-718
◽
Keyword(s):
Keyword(s):