Sofic mean length
Amenability, coarse embeddability and fixed point properties December 06, 2016 - December 09, 2016
Location: SLMath: Atrium
sofic groups
module
module theory
groups of units
Amenability
a-T-menability
fixed point properties
hyperbolic group
Banach space
group cohomology
expander graph
index theory
non-commutative geometry
16U80 - Generalizations of commutativity (associative rings and algebras)
00A35 - Methodology of mathematics {For mathematics education, see 97-XX}
00B25 - Proceedings of conferences of miscellaneous specific interest
00B55 - Collections of translated articles of miscellaneous specific interest
01-11 - Research data for problems pertaining to history and biography
20E15 - Chains and lattices of subgroups, subnormal subgroups [See also 20F22]
14644
For a unital ring R, a length function on left R-modules assigns a (possibly infinite) nonnegative number to each module being additive for short exact sequences of modules. For any unital ring R and any group G, one can form the group ring RG of G with coefficients in R. The modules of RG are exactly R-modules equipped with a G-action. I will discuss the question of how to define a length function for RG-modules, given a length function for R-modules. An application will be given to the question of direct finiteness of RG, i.e. whether every one-sided invertible element of RG is two-sided invertible. This is based on joint work with Bingbing Liang
Li Notes
|
Download |
14644
H.264 Video |
14644.mp4
|
Download |
Please report video problems to itsupport@slmath.org.
See more of our Streaming videos on our main VMath Videos page.