Herz--Schur multipliers and approximation properties
50 mins 54 secs,
733.46 MB,
MPEG-4 Video
640x360,
29.97 fps,
44100 Hz,
1.92 Mbits/sec
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Description: |
McKee, A (Queen's University Belfast)
Thursday 20th April 2017 - 14:00 to 15:00 |
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Created: | 2017-04-28 10:58 |
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Collection: | Operator algebras: subfactors and their applications |
Publisher: | Isaac Newton Institute |
Copyright: | McKee, A |
Language: | eng (English) |
Abstract: | Herz--Schur multipliers of a discrete group have proved useful in the study of C∗C∗-algebras, as they can be used to link properties of the group to approximation properties of the reduced group C∗C∗-algebra. The development of these ideas has shed light on some C∗C∗-algebra properties, and motivated the introduction and study of others.
I will introduce Herz--Schur multipliers, and discuss some of their applications, before describing a generalisation of these functions to multipliers of a C∗C∗-dynamical system. In the final part of the talk I will show how the generalised Herz--Schur multipliers can be used to study approximation properties of the reduced crossed product formed by a group acting on a C∗C∗-algebra, paralleling the applications of Herz--Schur multipliers; these new tools allow us to study approximation properties of the reduced crossed product without requiring the group to be amenable. |
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