Bhatt, Subhash J. (2006) Enveloping σC^{*}algebra of a smooth Frechet algebra crossed product by R,Ktheory and differential structure in C^{*}algebras Proceedings of the Indian Academy of Sciences  Mathematical Sciences, 116 (2). pp. 161173. ISSN 02534142

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Official URL: http://www.ias.ac.in/mathsci/vol116/may2006/PM2403...
Related URL: http://dx.doi.org/10.1007/BF02829785
Abstract
Given an mtempered strongly continuous action α of R by continuous ^{*}automorphisms of a Frechet^{*}algebra A, it is shown that the enveloping σC^{*}algebra E(S(R, A^{∞}, α)) of the smooth Schwartz crossed product S(R, A^{∞}, α) of the Frechet algebra A^{∞} of C^{∞}elements of A is isomorphic to the σC^{*}crossed product C^{*}(R,E (A), α) of the enveloping σC^{*}algebra E(A) of A by the induced action. When A is a hermitian Qalgebra, one gets Ktheory isomorphism RK_{*}(S (R, A^{∞}, α)) =K _{*}(C^{*}(R, E(A), α) for the representable Ktheory of Frechet algebras. An application to the differential structure of a C^{*}algebra defined by densely defined differential seminorms is given.
Item Type:  Article 

Source:  Copyright of this article belongs to Indian Academy of Sciences. 
Keywords:  Frechet^{*}algebra; Enveloping σC^{*}algebra; Smooth Crossed Product; mTempered Action; Ktheory; Differential Structure in C^{*}algebras 
ID Code:  59690 
Deposited On:  07 Sep 2011 05:19 
Last Modified:  18 May 2016 10:10 
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