On type II₀ <textbox>E₀textbox>-semigroups induced by boundary weight doubles

详细信息    查看全文

• 作者：Christopher Jankowski
• 关键词：style=""text-decoration ; none ; color ; black"" href=""/science?_ob=MathURL&_method=retrieve&_udi=B6WJJ-4Y0THV3-1&_mathId=mml12&_user=10&_cdi=6880&_pii=S0022123609005084&_rdoc=10&_issn=00221236&_acct=C000050221&_version=1&_userid=10&md5=d7
• 刊名：Journal of Functional Analysis
• 出版年：2010
• 出版时间：15 May 2010
• 年：2010
• 卷：258
• 期：10
• 页码：3413-3451
• 全文大小：382 K

文摘

Powers has shown that each spatial E₀-semigroup can be obtained from the boundary weight map of a CP-flow acting on B(KL²(0,∞)) for some separable Hilbert space K. In this paper, we define boundary weight maps through boundary weight doubles (,ν), where is a q-positive map and ν is a boundary weight over L²(0,∞). These doubles induce CP-flows over K for 1<dim(K)<∞ which then minimally dilate to E₀-semigroups by a theorem of Bhat. Through this construction, we obtain uncountably many mutually non-cocycle conjugate E₀-semigroups for each n>1, .