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- W59667051 abstract "Let us start with a countable group Γ. We linearize Γ by associating to it the complex group algebra CΓ, where CΓ is the C-vector space with basis Γ. It can also be viewed as the space of functions f: Γ → C with finite support. The product in CΓ is induced by the multiplication in Γ. Namely, for ( f = sumnolimits_{8 in Gamma } {{f_s}s} ) and ( g = sumnolimits_{t in Gamma } {{g_t}t} ) elements in CΓ, then $$ f * g = sumlimits_{s,t in Gamma } {{f_s}{g_t}st} $$which is the usual convolution of f and g, and thus $$ f * gleft( t right) = sumlimits_{s in Gamma } {fleft( s right)gleft( {{s^{ - 1}}t} right)} $$for all t ∈Γ." @default.
- W59667051 created "2016-06-24" @default.
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- W59667051 date "2002-01-01" @default.
- W59667051 modified "2023-09-24" @default.
- W59667051 title "A Biased Motivation: Idempotents in Group Algebras" @default.
- W59667051 doi "https://doi.org/10.1007/978-3-0348-8187-6_1" @default.
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