Timeline for C*-algebras with bizzarre structure of projections
Current License: CC BY-SA 3.0
11 events
| when toggle format | what | by | license | comment | |
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| Jan 30, 2012 at 22:00 | vote | accept | Jan Veselý | ||
| Jan 30, 2012 at 21:59 | vote | accept | Jan Veselý | ||
| Jan 30, 2012 at 22:00 | |||||
| Jan 26, 2012 at 23:44 | answer | added | Bruce Blackadar | timeline score: 19 | |
| Jan 22, 2012 at 19:57 | comment | added | Bill Johnson | Thanks, Valerio. But I was just being stupid, thinking of contractive projections on $C(K)$ instead of in $C(K)$. In the commutative case projections are just indicator functions of clopen sets. | |
| Jan 22, 2012 at 17:25 | vote | accept | Jan Veselý | ||
| Jan 30, 2012 at 21:59 | |||||
| Jan 22, 2012 at 17:11 | comment | added | Valerio Capraro | Bill, in the arxiv paper linked by Jon it is said (and proved) that a commutative $C^*$-algebra has always the lattice property (see the beginning of Sect. 4). | |
| Jan 22, 2012 at 15:11 | comment | added | Bill Johnson |
Probably I should ask this under the pseudonym unknown(Google) to spare myself embarrassment, but... $$ $$ Are there examples among the commutative $C^*$ algebras; i.e., $C(K)$ spaces?
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| Jan 22, 2012 at 13:59 | answer | added | Jon Bannon | timeline score: 11 | |
| Jan 22, 2012 at 13:44 | comment | added | Jon Bannon | If you look at the universal representation of the C* algebra and then consider the double commutant of its image you get the enveloping von Neumann algebra. The question of whether the projections in the C* algebra form a sublattice of the enveloping von Neumann algebra is considered here: arxiv.org/abs/math/0601003. I hope this helps! | |
| Jan 22, 2012 at 13:42 | history | edited | Jan Veselý | CC BY-SA 3.0 |
typo
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| Jan 22, 2012 at 13:23 | history | asked | Jan Veselý | CC BY-SA 3.0 |