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Ahmad Shirinkalam and Abdolrasoul Pourabbas
On approximate Connes-amenability of enveloping dual Banach algebras view print
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| Published: |
June 10, 2017
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| Keywords: |
Enveloping dual Banach algebra, Approximate Connes-amenable, Approximate WAP-virtual diagonal, Approximate virtual diagonal |
| Subject: |
Primary: 46H20; Secondary: 46H25, 46H35 |
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Abstract
For a Banach algebra A , we introduce various approximate virtual diagonals such as approximate WAP-virtual diagonal and approximate virtual diagonal.
For the enveloping dual Banach algebra F(A) of A , we show that F(A) is approximately Connes-amenable if and only if A has an approximate WAP-virtual diagonal.
Further, for a discrete group G , we show that if the group algebra ℓ1(G) has an approximate WAP-virtual diagonal,
then it has
an approximate virtual diagonal.
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| Author information
Ahmad Shirinkalam:
Faculty of Mathematics and Computer Science, Amirkabir University of Technology, 424 Hafez Avenue, Tehran 15914, Iran
shirinkalam_a@aut.ac.ir
Abdolrasoul Pourabbas:
Faculty of Mathematics and Computer Science, Amirkabir University of Technology, 424 Hafez Avenue, Tehran 15914, Iran
arpabbas@aut.ac.ir
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