# Spectral invariance, K-theory isomorphism and an application to the differential structure of C*-algebras

Bhatt, S. J. ; Inoue, A. ; Ogi, H. (2003) Spectral invariance, K-theory isomorphism and an application to the differential structure of C*-algebras Journal of Operator Theory, 49 (2). pp. 389-405. ISSN 0379-4024

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## Abstract

The notion of spectral invariance of a locally convex *-algebra is defined by constructing the enveloping C*-algebra and is characterized. It is shown that the spectral invariance induces §{\rm K}§-theory isomorphism at a general level. As an application, the differential structure of C*-algebras is studied.

Item Type: Article Copyright of this article belongs to The Theta Foundation. Differential Geometry; Algebraic Geometry 59675 07 Sep 2011 05:18 18 May 2016 10:09

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