A thorough account of the methods that underlie the theory of subalgebras of finite von Neumann algebras, this book contains a substantial amount of current research material and is ideal for those studying operator algebras. The conditional expectation, basic construction and perturbations within a finite von Neumann algebra with a fixed faithful normal trace are discussed in detail. The general theory of maximal abelian self-adjoint subalgebras (masas) of separable II1 factors is presented with illustrative examples derived from group von Neumann algebras. The theory of singular masas and Sorin Popa's methods of constructing singular and semi-regular masas in general separable II1 factor are explored. Appendices cover the ultrapower of a II1 factor and the properties of unbounded operators required for perturbation results. Proofs are given in considerable detail and standard basic examples are provided, making the book understandable to postgraduates with basic knowledge of von Neumann algebra theory.
In this first of a groundbreaking multivolume set, THE MCCARTNEY LEGACY, VOL 1: 1969-73 captures the life of Paul McCartney in the years immediately following the dissolution of the Beatles, a period in which McCartney recreated himself as both a man and a musician. Informed by hundreds of interviews, extensive ground up research, and thousands of never-before-seen documents THE MCCARTNEY LEGACY, VOL 1 is an in depth, revealing exploration of McCartney’s creative and personal lives beyond the Beatles.When Paul McCartney issued a press release in April 1970 announcing that the world’s most beloved band, the Beatles, had broken up no one could have predicted that McCartney himself would go on to have one of the most successful solo careers in music history. Yet in the years after the Fab Four disbanded, Paul McCartney became a legend in his own right. Now journalist and world-renowned Beatles’ historian Allan Kozinn and award-winning documentarian Adrian Sinclair chronicle in technicolor McCartney’s pivotal years from 1969 to 1973, as he recreated himself in the immediate aftermath of the Beatles breakup – a period when, newly married and with a growing family, he conquered depression and self-doubt, formed a new band, Wings, and recorded five epochal albums culminating in the triumphant smash, Band on the Run.Part 1 of a multivolume set, THE MCCARTNEY LEGACY, VOL. 1 documents a pivotal moment in the life of a man whose legacy grows increasingly more relevant as his influence on music and pop culture remains as relevant as ever. It is the first truly comprehensive biography, and the most finely detailed exploration of McCartney’s creative life beyond the Beatles, ever undertaken.
The follow-up to The McCartney Legacy, Volume 1, the most complete work on the life and work of Paul McCartney ever published. Volume 2 continues to paint the portrait of one of the world’s greatest musicians, his work post-Beatles, and his life from 1974 to 1980.This second installment of the groundbreaking multivolume set, THE McCARTNEY LEGACY, VOLUME 2: 1974-80 finds Paul McCartney in the afterglow of Band on the Run, an album that topped the Billboard 200 three times in 1974, and won him his best reviews since his time in the Beatles. But he also faced rebuilding his band Wings, and getting it into shape not only for the studio work that would follow his most successful album to date, but also to tour Britain, Europe and Australia before conquering the USA with the groundbreaking Wings Over America tour. This intensely creative time in McCartney’s life saw him writing and recording four studio albums with Wings (Venus and Mars, Wings at the Speed of Sound, London Town and Back to the Egg), the biggest selling British single of the 1970s, ‘Mull of Kintyre,’ and a solo album packed with electronic experimentalism, McCartney II. During a period of diverse musical evolution, McCartney melded his own melody-driven approach with in-vogue styles like disco, punk and new wave.Away from Wings, McCartney dabbled in music publishing, science fiction writing, semi-autobiographical filmmaking, animation, viral marketing, journalist boycotting, and smuggling cannabis past authority figures with mixed success. McGear, an album Paul co-wrote with his brother, Mike, tops a long list of lesser known projects and collaborations – some of which never saw the light of day – that kept McCartney busy between hit records.For the second half of this decade, John Lennon, George Harrison and Ringo Starr remained ever present in McCartney’s life. Collaborations were mooted, and multi-million dollar offers for one-off reunion concerts were plentiful, but the scars of the Beatles’ bitter separation, and their complex, hard to untangle business ties complicated their private and public relationships.THE McCARTNEY LEGACY series is the first truly comprehensive biography, and the most finely detailed exploration of McCartney’s creative life beyond the Beatles, ever undertaken. As well as thousands of never-before-seen documents, this volume is informed by hundreds of interviews, including exclusive collaborations with all four surviving members of Wings – Geoff Britton, Joe English, Steve Holley and Laurence Juber – plus countless other including producers, musicians, recording engineers, designers and architects who worked with McCartney between 1974-80.
Some of the results on automatic continuity of intertwining operators and homomorphisms that were obtained between 1960 and 1973 are here collected together to provide a detailed discussion of the subject. The book will be appreciated by graduate students of functional analysis who already have a good foundation in this and in the theory of Banach algebras.
In these notes the abstract theory of analytic one-parameter semigroups in Banach algebras is discussed, with the Gaussian, Poisson and fractional integral semigroups in convolution Banach algebras serving as motivating examples. Such semigroups are constructed in a Banach algebra with a bounded approximate identity. Growth restrictions on the semigroup are linked to the structure of the underlying Banach algebra. The Hille-Yosida Theorem and a result of J. Esterle's on the nilpotency of semigroups are proved in detail. The lecture notes are an expanded version of lectures given by the author at the University of Edinburgh in 1980 and can be used as a text for a graduate course in functional analysis.
This is an introductory text intended to give the non-specialist a comprehensive insight into the science of biotransformations. The book traces the history of biotransformations, clearly spells out the pros and cons of conducting enzyme-mediated versus whole-cell bioconversions, and gives a variety of examples wherein the bio-reaction is a key element in a reaction sequence leading from cheap starting materials to valuable end products.
Promoting the revolutionary socialist project of equality and dignity for all, the slogan ¡Venceremos! (We shall overcome!) appears throughout Cuba, everywhere from newspapers to school murals to nightclubs. Yet the accomplishments of the Cuban state are belied by the marginalization of blacks, the prejudice against sexual minorities, and gender inequities. ¡Venceremos? is a groundbreaking ethnography on race, desire, and belonging among blacks in early-twenty-first-century Cuba, as the nation opens its economy to global capital. Expanding on Audre Lorde’s vision of embodied, even “useful,” desire, Jafari S. Allen shows how black Cubans engage in acts of “erotic self-making,” reinterpreting, transgressing, and potentially transforming racialized and sexualized interpellations of their identities. He illuminates intimate spaces of autonomy created by people whose multiply subaltern identities have rendered them illegible to state functionaries, and to most scholars. In everyday practices in Havana and Santiago de Cuba-including Santeria rituals, gay men’s parties, hip hop concerts, the tourist-oriented sex trade, lesbian organizing, HIV education, and just hanging out-Allen highlights small but significant acts of struggle for autonomy and dignity.
Promoting the revolutionary socialist project of equality and dignity for all, the slogan ¡Venceremos! (We shall overcome!) appears throughout Cuba, everywhere from newspapers to school murals to nightclubs. Yet the accomplishments of the Cuban state are belied by the marginalization of blacks, the prejudice against sexual minorities, and gender inequities. ¡Venceremos? is a groundbreaking ethnography on race, desire, and belonging among blacks in early-twenty-first-century Cuba, as the nation opens its economy to global capital. Expanding on Audre Lorde’s vision of embodied, even “useful,” desire, Jafari S. Allen shows how black Cubans engage in acts of “erotic self-making,” reinterpreting, transgressing, and potentially transforming racialized and sexualized interpellations of their identities. He illuminates intimate spaces of autonomy created by people whose multiply subaltern identities have rendered them illegible to state functionaries, and to most scholars. In everyday practices in Havana and Santiago de Cuba-including Santeria rituals, gay men’s parties, hip hop concerts, the tourist-oriented sex trade, lesbian organizing, HIV education, and just hanging out-Allen highlights small but significant acts of struggle for autonomy and dignity.
In There’s A Disco Ball Between Us, Jafari S. Allen offers a sweeping and lively ethnographic and intellectual history of what he calls “Black gay habits of mind.” In conversational and lyrical language, Allen locates this sensibility as it emerged from radical Black lesbian activism and writing during the long 1980s. He traverses multiple temporalities and locations, drawing on research and fieldwork conducted across the globe, from Nairobi, London, and Paris to Toronto, Miami, and Trinidad and Tobago. In these locations and archives, Allen traces the genealogies of Black gay politics and cultures in the visual art, poetry, film, Black feminist theory, historiography, and activism of thinkers and artists such as Audre Lorde, Marsha P. Johnson, Essex Hemphill, Colin Robinson, Marlon Riggs, Pat Parker, and Joseph Beam. Throughout, Allen renarrates Black queer history while cultivating a Black gay method of thinking and writing. In so doing, he speaks to the urgent contemporary struggles for social justice while calling on Black studies to pursue scholarship, art, and policy derived from the lived experience and fantasies of Black people throughout the world.
