From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/3743 Path: news.gmane.org!not-for-mail From: Miles Gould Newsgroups: gmane.science.mathematics.categories Subject: Re: C*-algebras Date: Tue, 1 May 2007 16:34:26 +0100 Message-ID: NNTP-Posting-Host: main.gmane.org Mime-Version: 1.0 Content-Type: text/plain; charset=us-ascii X-Trace: ger.gmane.org 1241019496 10100 80.91.229.2 (29 Apr 2009 15:38:16 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Wed, 29 Apr 2009 15:38:16 +0000 (UTC) To: categories@mta.ca Original-X-From: rrosebru@mta.ca Tue May 1 13:44:02 2007 -0300 Return-path: Envelope-to: categories-list@mta.ca Delivery-date: Tue, 01 May 2007 13:44:02 -0300 Original-Received: from Majordom by mailserv.mta.ca with local (Exim 4.61) (envelope-from ) id 1HivON-0003AG-ET for categories-list@mta.ca; Tue, 01 May 2007 13:39:55 -0300 Original-Sender: cat-dist@mta.ca Precedence: bulk X-Keywords: X-UID: 3 Original-Lines: 15 Xref: news.gmane.org gmane.science.mathematics.categories:3743 Archived-At: On Sat, Apr 28, 2007 at 10:27:58PM +0200, Bas Spitters wrote: > It seems hard to find references to a categorical treatment of > C*-algebras. Concretely, there are several tensor products on > C*-algebras. Which one is `the right one' from a categorical perspective? Jeff Egger gave a talk on some of these ideas at the Nice PSSL - I'm somewhat surprised he hasn't replied to this thread. IIRC, the category of operator algebras is an involutive monoidal category with respect to one or other of the tensor products, and C*-algebras are exactly the involutive monoids w.r.t. this tensor product. Can't remember which one it was, though. Miles